Question

Factorize

Answer 1

81a^2-100

Answer 2

(9a+10)(9a-10)
Its difference of squares

Answer 3

yep

Answer 4

swissgirl

Answer 5

@swissgirl

Answer 6

so you got it?

Answer 7

could u tell me the steps

Answer 8

i mean could u show it

Answer 9

I realized that we were missing the middle term
Usually the equation is in the form \(ax^2+bx+c\)
In this case the equation was in this form \(ax^2+c\) it was missing the bx
So that means its difference of squares meaning that middle term canceled out

Answer 10

oh i get it thanx pippa u are a life saver

Answer 11

I am back should i finish off explaining or did u get it?

Answer 12

could u finish it

Answer 13

So anyways it is in the form \(a^2-b^2=(a-b)(a+b)\)
\(81x^2-100=(9x-10)(9x+10)\)
In this case our a=9x and b=10
So \(a^2=(9x)^2=81x^2 \text{ and } b^2=(10)^2=100\)