Question

Match the phenomenal expression on the left with the simplified version on the right

Answer 1

Given the polynomial expression:

(y + 5)²

(y - 5)(y + 5)

Let's simplify each of the given expression:

a.) (y + 5)²

The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

`\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2`

We get,

`\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2`
`(y+5)^2=y^2+10y+25`

b.) (y - 5)(y + 5)

To be able to simplify the following expression. We will be using the formula for the difference of two squares.

`(a+b)(a-b)=a^2-b^2`

We get,

`\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2`
`(y-5)(y+5)=y^2-25^{}`