Question

Factorise 48 (5a-2b)^2 - 75 (2a-5b)^2​

Answer 1

Answer:

$9(10a-11b)(10a+17b)$

Step-by-step explanation:

Formula used:

$a^2-b^2=(a+b)(a-b)$

Given:

$48(5a-2b)^2-75(2a-5b)^2$

Taking 3 common from each term

$=3[16(5a-2b)^2-25(2a-5b)^2]$

$=3[4^2(5a-2b)^2-5^2(2a-5b)^2]$

$=3[(4(5a-2b))^2-(5(2a-5b))^2]$

$=3[(20a-8b)^2-(10a-25b)^2]$

$=3(20a-8b+10a-25b)((20a-8b)-(10a-25b))$

$=3(30a-33b)(20a-8b-10a+25b)$

$=3(30a-33b)(10a+17b)$

$=3*3(10a-11b)(10a+17b)$

$=9(10a-11b)(10a+17b)$

Answer 2

I hope its help u..............