Question

Express each of the following as the difference of the two squares :

i) (x2

+ 8x + 15) (x2

– 8x – 15)
ii) (x2

+ 8x – 15) (x2

– 8x – 15)​

Answer 1

Answer:

Step-by-step explanation:

Use (a+b)(a-b) = a²-b²

(x2 + 8x + 15) (x2 – 8x – 15)

(x2 + (8x + 15)) (x2 – (8x + 15))

=x2²- (8x + 15)²

(x2 + 8x – 15) (x2 – 8x – 15)​

(x2-15+8x)(x2-15-8x)

=(x2-15)² - (8x)²