Question

9a^2 - 24ab. +16b ^2 - 25c^2. Factorise it

Answer 1

Answer:

(3a-4b+5c)(3a-4b-5c)

Step-by-step explanation:

9a^2-24ab+16b^2-25c^2

(3a)^2-24ab+(4b)^2-(5c)^2

it is in the form of a^2-2ab+b^2

we know that (a-b)^2=a^2-2ab-b^2

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

it is in the form of a^2-b^2

we know a^2-b^2=(a+b)(a-b)

(3a-4b+5c)(3a-4b-5c)