Factorisation | Factorisation Exercise 7E

Question

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

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

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

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

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

Solution
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 ."

Accepted Answer

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)

Factorisation | Factorisation Exercise 7E

Chapters in Mathematics class 8th RS Aggarwal

Exercises in Factorisation

Question 4