Question

16x^2+25-40x
factorise this
My KiNd ReQuEsT

Answer 1

hey mate!!

here's ur answer:-)



Answer:

(4x−5)(4x−5)=(4x−5)^2

Explanation:

This is a pretty straight forward question.

We know that 
$(a - b) {}^{2} = a {}^{2} - 2ab + b {}^{2} \\ \\ compare \: a {}^{2} - 2ab + b {}^{2} \: to \: 16x {}^{2} - 40x + 25$





Lets look at a^2 and b^2

a^2=16x^2 and b^2=25

⇒a=4x and b=5

Then, 2ab=2×4x×5=40x, as given in the expression.

Therefore,

16x^2−40x+25

=(4x)^2−(2×4x×5)+5^2

=(4x−5)^2

____

hope it helps:-)

#thankyou...☺☺