Carry out the following division. 3 y 8 - 4 y 6 + 5 y 4 ÷ y 4

Given, 3 y 8 - 4 y 6 + 5 y 4 ÷ y 4 = 3 y 8 - 4 y 6 + 5 y 4 y 4 = 3 y 8 y 4 - 4 y 6 y 4 + 5 y 4 y 4 = 3 y 8 - 4 - 4 y 6 - 4 + 5 y 4 - 4 = 3 y 4 - 4 y 2 + 5 Hence, 3 y 8 - 4 y 6 + 5 y 4 ÷ y 4 = 3 y 4 - 4 y 2 + 5

Divide: 5 2 x + 1 3 x + 5 ÷ 2 x + 1

Given, 5 2 x + 1 3 x + 5 ÷ 2 x + 1 = 5 × 2 x + 1 × 3 x + 5 2 x + 1 = 5 × 2 x + 1 × 3 x + 5 2 x + 1 = 5 3 x + 5 = 15 x + 25 Hence, 5 2 x + 1 3 x + 5 ÷ 2 x + 1 = 15 x + 25

Divide: 26 x y ( x + 5 ) ( y - 4 ) ÷ 13 x ( y - 4 )

Given, 26 x y ( x + 5 ) ( y - 4 ) ÷ 13 x ( y - 4 ) Therefore, 26 x y x + 5 y - 4 13 x y - 4 = 26 13 × x x × y x + 5 y - 4 y - 4 = 2 × y x + 5 = 2 y x + 5 = 2 y x + 10 y Hence, 26 x y ( x + 5 ) ( y - 4 ) ÷ 13 x ( y - 4 ) = 2 y x + 5

Divide: 20 ( y + 4 ) ( y 2 + 5 y + 3 ) ÷ 5 ( y + 4 )

Given, 20 ( y + 4 ) ( y 2 + 5 y + 3 ) ÷ 5 ( y + 4 ) = 20 ( y + 4 ) ( y 2 + 5 y + 3 ) 5 y + 4 = 20 5 × y + 4 y + 4 × y 2 + 5 y + 3 = 4 × 1 × y 2 + 5 y + 3 = 4 y 2 + 5 y + 3 = 4 y 2 + 20 y + 12 Hence, 20 ( y + 4 ) ( y 2 + 5 y + 3 ) ÷ 5 ( y + 4 ) = 4 y 2 + 20 y + 12

Divide: x ( x + 1 ) ( x + 2 ) ( x + 3 ) ÷ x ( x + 1 )

Given, x ( x + 1 ) ( x + 2 ) ( x + 3 ) ÷ x ( x + 1 ) = x ( x + 1 ) ( x + 2 ) ( x + 3 ) x ( x + 1 ) = x x × x + 1 x + 1 × x + 2 x + 3 = 1 × 1 × x + 2 x + 3 = x + 2 x + 3 Hence, x ( x + 1 ) ( x + 2 ) ( x + 3 ) ÷ x ( x + 1 ) = x + 2 x + 3

Evaluate: 5 p q ( p 2 - q 2 ) ÷ 2 p ( p + q )

Given, 5 p q ( p 2 - q 2 ) ÷ 2 p ( p + q ) = 5 p q p 2 - q 2 2 p ( p + q ) = 5 p q p + q p - q 2 p ( p + q ) = 5 2 × q × p - q = 5 2 p q - q 2 Hence, 5 p q ( p 2 - q 2 ) ÷ 2 p ( p + q ) = 5 2 p q - q 2

E M B I B E

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 13 - Factorisation>Exercise

Jammu and Kashmir Board Solutions for Chapter: Factorisation, Exercise 5: Exercise

Author:Jammu and Kashmir Board

Jammu and Kashmir Board Mathematics Solutions for Exercise - Jammu and Kashmir Board Solutions for Chapter: Factorisation, Exercise 5: Exercise

Attempt the free practice questions on Chapter 13: Factorisation, Exercise 5: Exercise with hints and solutions to strengthen your understanding. MATHEMATICS A TEXTBOOK FOR CLASS 8 solutions are prepared by Experienced Embibe Experts.