Question

25(a-5b)^2-4(a-3b)^2 factorize in detail

Answer 1

[25(a-5b)²]-[4(a-3b)²]
=[5²(a-5b)²]-[2²(a-3b)²]
=[5(a-5b)]²-[2(a-3b)]
=[5a-25b]²-[2a-6b]²
Break into
a²-b²=(a+b)(a-b)

=[(5a-25b)+(2a-6b)]×[(5a-25b)-(2a-6b)]
=[7a-31b]×[3a-19b] ..............

Answer 2

hii》》》

solution::-

25(a-5b)^2-4(a-3b)^2

= [5a-25b]^2-[2a-6b]^2

= [ 5a-25b+2a-6b][5a-25b-2a+6b]

= [ 7a-31b][3a-19b]

i hope it is helpfull for u