Verify the identity $\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab$ for $a=2, b=3, x=5$.

Important Questions on Algebraic Expressions and Identities

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 9 - Algebraic Expressions and Identities>TRY THESE>Q 2

Consider, the special case of identity $\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab$ with $a=b$. What do you get? Is it related to the Identity ${\left(a+b\right)}^2=a^2+2ab+b^2$?

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 9 - Algebraic Expressions and Identities>TRY THESE>Q 3

Consider, the special case of identity $\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab$ with $a=-c$ and $b=-c$. What do you get? Is it related to the Identity ${\left(a-b\right)}^2=a^2-2ab+b^2$?

EASY

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 9 - Algebraic Expressions and Identities>TRY THESE>Q 4

Consider, the special case of identity $\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab$ with $b=-a$. What do you get? Is it related to the Identity $\left(a+b\right)\left(a-b\right)=a^2-b^2$?

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 9 - Algebraic Expressions and Identities>Exercise>Q 1

The product of $\left(\mathrm{x}+3\right)\left(\mathrm{x}+3\right)$ using suitable identify is ${\mathrm{x}}^2+k+9$. Find the value of $k$.

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 9 - Algebraic Expressions and Identities>Exercise>Q 1

The product of $\left(2y+5\right)\left(2y+5\right)$ using suitable identify is $4{\mathrm{y}}^2+20\mathrm{y}+k$. Find the value of $k$. Use a suitable identity to get the following product.
 

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 9 - Algebraic Expressions and Identities>Exercise>Q 1

The product of $\left(2\mathrm{a}–7\right)\left(2\mathrm{a}–7\right)$ using suitable identify is $4{\mathrm{a}}^2-k \mathrm{a}+49$. Find the value of $k$. 
 

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 9 - Algebraic Expressions and Identities>Exercise>Q 1

If $\left(3\mathrm{a}–\frac{1}{2}\right)\left(3\mathrm{a}–\frac{1}{2}\right) =\left( 9{\mathrm{a}}^2-\mathrm{k}+\frac{1}{4}\right)$, then find the value of $\mathrm{k}$.
 

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 9 - Algebraic Expressions and Identities>Exercise>Q 1

If  $\left(1.1\mathrm{m}–0.4\right)\left(1.1\mathrm{m}+0.4\right) = {\mathrm{km}}^2-0.16$, then find the value of $\mathrm{k}$.