Question

(A) factorise the following algebraic expression

(i) 49 a^2 - 225 b^2​

Answer 1

Answer:

heya mate there's your answer

=49a^2-225b^2

=(7a)^2-(15b)^2

=(7a+15b)(7a-15b)

[(a^2-b^2)=(a+b)(a-b)]

hope it helps you

Thank you

Answer 2

Answer:

( 7a-15b) x (7a+15b)

Step-by-step explanation:

Write the number in exponential form with an exponent of 2

7² = 49

15² = 225

Write in exponential form : 49a² - 225 b²

Multiply the terms with equal exponents by multiplying their bases

7² a² = (7a)²

-15² b² = -(15b)²

Factor the expression : (7a)² - (15b) ²

Using a² - b² = (a-b) (a+b) , Factor the expression

Answer = (7a-15b) (7a+15b)