Question

Ollie and Amie each have an expression. Ollie (x+4)²-1 Amie (x+5)(x+3) Show clearly that Ollie's expression is equivalent to Amie's expression.​

Answer 1

Explanation:

We can first expand Ollie's expression of (x+4)²-1

(x+4)² = (x+4)(x+4) = x²+8x+16

x²+8x+16 - 1 = x²+8x+15

Now let's expand Amie's expression of (x+5)(x+3) = x²+8x+15

Therefore both are equal to each other because when they are expanded, they are equal to x²+8x+15