Question

Multiply and simplify
A). (b+2)(b+2)
B). (x+3)(x-3)

Answer 1

a)
b^2+2b+2b+4 -> b^2+4b+4

b)
x^2-3x+3x-9 -> x^2-9

Answer 2

Thank you so much.!:)

Answer 3

(b+2)(b+2) = (b+2)² = b² +2(b)(2) + 2² = b² + 4b + 4

RULES --> (a+b)²=a² + 2ab + b² AND (a-b)²=a² - 2ab + b²

just like
(x+3)(x+3)=(x+3)² = x² + 2(x)(3) + 3² = x² + 6x + 9 and
(c-5)(c-5)=(c-5)² = c² - 2(c)(5) + (5)² = c² - 10c + 25



(x+3)(x-3) = x² - 3²=x² - 9.

The rule is below...
(a-b)(a+b)=a² - b²