Multiply by Vedic Ganit method 71 × 79

71 × 79 Clearly, We can see that the first term of both the number is the same. And the sum of the unit place is 10. Therefore, by applying the appropriate method The answer will be 7 × ( 7 + 1 ) | 1 × 9 ( note : multiplication of section must be in 2 place ) 7 × 8 | 09 = 56 | 09 = 5609 Thus, the above is the required Solution.

Multiply by Vedic Ganit method 71 × 79

71 × 79 Clearly, We can see that the first term of both the number is the same. And the sum of the unit place is 10. Therefore, by applying the appropriate method The answer will be 7 × ( 7 + 1 ) | 1 × 9 ( note : multiplication of section must be in 2 place ) 7 × 8 | 09 = 56 | 09 = 5609 Thus, the above is the required Solution.

Solve using formula Ekanyunena poorvena: 48 × 9

Given, 48 × 9 Ekanyunena Poorvena Vidhi (method) (meaning one less than before): This formula is used when one of the numbers is made up of 9 s . Steps: Reduce multiplicand by one and keep multiplier as it is following this. Then subtract (multiplicand minus one) from the result of previous step. To multiply 48 × 9 using Ekanyunena poorvena method: Reduce 48 by 1 and keep 9 as it is following this. we get 479 Then subtract 47 from this number 479 to get the solution. 479 - 47 432 Hence, 48 × 9 = 432

Solve the given expression x + 4 × x + 4 using Urdhwatriyak vidhi and check the answer.

We need to multiply the expression x + 4 × x + 4 ,by using Urdhwatriyak vidhi, x + 4 × x + 4 So,we follow the steps as, 1 . + 4 + 4 16 (first column,vertical multiplication) 2 . x + 4 × x + 4 4 x + 4 x = 8 x (first column × second column,diagonal multiplication) 3 . x × x x 2 (third column,vertical multiplication) Therefore, x + 4 × x + 4 = x 2 + 8 x + 16 To check the answer,we do, Digit sum of numerical coefficient of first expression × Digit sum of numerical coefficient of second expression = Digit sum of numerical coefficient of the answer. Here,Digit sum of numerical coefficient of first expression = 5 Digit sum of numerical coefficient of second expression = 5 Digit sum of numerical coefficient of answer = 1 + 8 + 16 = 25 Hence by using the given formula to check we get that, 5 × 5 = 25

Divide by Paravartya Yojayet method, 1432 ÷ 88 .

Steps for division: (i) Take the nearest base of 88 , i.e. 100 (ii) Difference: 100 - 88 = 12 (iii) Write 12 in the second row and add the digits in the middle column. (iv) Write the product of 5 and 12 (consider individual digits), i.e. 5 and 10 in the third column and third row. (v) Add the digits to get the result such as 15 and 112 . (vi) 112 > 88 , so place 1 below 5 and - 88 in the last column. (vii) Add the digits in the middle column and subtract the third column. Therefore, quotient = 16 and remainder = 24

Solve the given expression 4 x + 2 y × 3 x + 3 y using Urdhwatriyak vidhi and check the answer.

We need to multiply the expression 4 x + 2 y × 3 x + 3 y ,by using Urdhwatriyak vidhi, 4 x + 2 y × 3 x + 3 y So,we follow the steps as, 1 . + 2 y + 3 y 6 y 2 (first column,vertical multiplication) 2 . 4 x + 2 y × 3 x + 3 y 12 xy + 6 xy = 18 xy (first column × second column,diagonal multiplication) 3 . 4 x × 3 x 12 x 2 (third column,vertical multiplication) Therefore, 4 x + 2 y × 3 x + 3 y = 12 x 2 + 18 xy + 6 y 2 To check the answer,we do, Digit sum of numerical coefficient of first expression × Digit sum of numerical coefficient of second expression = Digit sum of numerical coefficient of the answer. Here,Digit sum of numerical coefficient of first expression = 6 Digit sum of numerical coefficient of second expression = 6 Digit sum of numerical coefficient of answer = 12 + 18 + 6 = 36 Hence by using the given formula to check we get that, 6 × 6 = 36

Solve the given expression x 2 + 2 x + 1 × x 2 + 3 x + 4 using Urdhwatriyak vidhi and check the answer.

We need to multiply the expression x 2 + 2 x + 1 × x 2 + 3 x + 4 ,by using Urdhwatriyak vidhi, x 2 + 2 x + 1 × x 2 + 3 x + 4 So,we follow the steps as, 1 . + 1 + 4 4 (first column,vertical multiplication) 2 . 2 x + 1 × 3 x + 4 8 x + 3 x = 11 x (first column × second column,diagonal multiplication) 3 . x 2 + 2 x + 1 × x 2 + 3 x + 4 4 x 2 + x 2 + 6 x 2 = 11 x 2 (as per signs multiply first and third term diagonally and second by second vertically and add) 4 . x 2 + 2 x × x 2 + 3 x 3 x 3 + 2 x 3 = 5 x 3 (second and third column,diagonal multiplication) 5 . x 2 × x 2 x 4 (third column vertical multiplication) Therefore, x 2 + 2 x + 1 × x 2 + 3 x + 4 = x 4 + 5 x 3 + 11 x 2 + 11 x + 4 To check the answer,we do, Digit sum of numerical coefficient of first expression × Digit sum of numerical coefficient of second expression = Digit sum of numerical coefficient of the answer. Here,Digit sum of numerical coefficient of first expression = 4 Digit sum of numerical coefficient of second expression = 8 Digit sum of numerical coefficient of answer = 1 + 5 + 11 + 11 + 4 = 32 Hence by using the given formula to check we get that, 4 × 8 = 32

Solve the given expression x - 3 y × x + 3 y using Urdhwatriyak vidhi and check the answer.

We need to multiply the expression x - 3 y × x + 3 y ,by using Urdhwatriyak vidhi, x - 3 y × x + 3 y So,we follow the steps as, 1 . - 3 y + 3 y - 9 y 2 (first column,vertical multiplication) 2 . x - 3 y × x + 3 y 3 x y - 3 xy = 0 (first column × second column,diagonal multiplication) 3 . x × x x 2 (third column,vertical multiplication) Therefore, x - 3 y × x + 3 y = x 2 - 9 y 2 To check the answer,we do, Digit sum of numerical coefficient of first expression × Digit sum of numerical coefficient of second expression = Digit sum of numerical coefficient of the answer. Here,Digit sum of numerical coefficient of first expression = - 2 Digit sum of numerical coefficient of second expression = 4 Digit sum of numerical coefficient of answer = - 8 Hence by using the given formula to check we get that, - 2 × 4 = 8

Divide by Paravartya Yojayet method, 1154 ÷ 103 .

Steps for division: i Take the nearest base of 103 , i.e. 100 i i Difference: 103 - 100 = 03 i i i Take the bar for 3 and write as shown below. i v Write 03 in the second row and product of 1 and 03 in the third column and third row. v Subtract the digits to get the final result. Hence, the quotient = 11 and the remainder = 21 .