# NCERT Solutions Class 8 Mathematics Solutions for Exercise 14.3 in Chapter 14 - Factorisation

Question 13 Exercise 14.3

Factorize the expressions and divide them as directed:

5 p q\left(p^{2}-q^{2}\right) \div 2 p(p+q)

Solution:

The factorization is made much simpler by employing several identities.

A number of expressions that can be factored take the form of or can be put into the following: a2 - b2 =(a+b)(a-b)

\mathrm{p}^{2}-\mathrm{q}^{2} \text { can be written as }(\mathrm{p}-\mathrm{q})(\mathrm{p}+\mathrm{q}) \text { using identity. }5 p q\left(p^{2}-q^{2}\right) \div 2 p(p+q)=5 p q(p-q)(p+q) / 2 p(p+q)=5 / 2 q(p-q)

Video transcript
"hello students i am rita your math leader tutor and the today's question is factorize the expressions and divide them as directed and the question is 39 y raised to power 3 bracket 50 y square minus 98 divided by 26 y raised to the power 2 bracket 5 y plus 7 first of all in this question we take out common 2 from the 50 y square and 98 we take out common 2 from them then we got 25 y square minus 49 divided by 26 y square five y plus seven now 25 is the perfect square of five and 25 is the perfect square of 5 and 49 is a perfect square of 7 so we can write it as 7 square divided by 26 y raised to power 2 5 5 plus 7 now as we know the formula of e square minus b square is equal to a plus b bracket a minus b now we use this identity and solve the equation so 39 into 2 y raised to power 3 into a plus b 5 y plus 7 into 5 5 minus 7 divided by 26 y raised to power 2 bracket 5 y plus 7 now we cancel out the terms 5 y plus seven and thirteen twos are thirteen threes are and two ones are two ones are so we got the answer and the answer is 3 and y is to power 3 and y is to power 2 so 3 minus 2 we got 1 so single y y is 2 power 1 bracket 5 y minus 7 so this is our answer i hope you like this video so please subscribe leo for more updates and do comment your questions thank you"
Related Questions

Lido

Courses

Teachers

Book a Demo with us

Syllabus

Maths
CBSE
Maths
ICSE
Science
CBSE

Science
ICSE
English
CBSE
English
ICSE
Coding

Terms & Policies

Selina Question Bank

Maths
Physics
Biology

Allied Question Bank

Chemistry
Connect with us on social media!