# RS Aggarwal Solutions Class 8 Mathematics Solutions for Factorisation Exercise 7E in Chapter 7 - Factorisation

Question 4 Factorisation Exercise 7E

\left(2-50x^2\right)=?

\text{ a. }2(1-5x)^2

\text{ b. }2(1+5x)^2

c. (2-5x)(2+5x)

d. 2(1-5x)(1+5x)

let us consider \left(2-50x^2\right)=2\left(1-25x^2\right) by taking 2 as the common factor

By using the formula a^2-b^2=(a-b)(a+b)

= 2 (1 – 5x) (1 + 5x)

Video transcript
"hello students i am rita your math leader tutor and the today's question is 2 minus 50 x square is equal to question mark and the option are option a 2 bracket 1 minus 5 x whole square b option 2 bracket 1 plus 5 x whole square c option 2 minus 5 x 2 plus 5 x and the d option 2 bracket 1 minus 5 x and 1 plus 5 x for it is a mcq question and we have to select the correct option now the question is 2 minus 50 x square first of all we take out 2 common from both the numbers then we got 1 minus 25 x square now we can write 1 is a perfect square of 1 and 25 is the perfect square of 5. so we can write it like that and as we know the identity that is e square minus p square is equal to a plus b a minus b now we apply this identity and got the answer that is 1 plus 5 x and 1 minus 5 5x so this is the correct answer it means option d is correct so this is our answer i hope you like this video so please subscribe leto for more updates and do comment your question thank you ."
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