Question

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Match the perfect square trinomials with their factors.

Answer 1

Please see attached image

Explanation:

We can work on the products of binomials using distributive property to multiply every term of the first binomial by every term of the second one. Finally combine like terms to get the trinomial that results:

1)
`(2+a)(2+a)=4+2a+2a+a^2=4+4a+a^2`

2)
`(2a+1)(2a+1)=4a^2+2a+2a+1=4a^2+4a+1`

3)
`(2a-1)(2a-1)=4a^2-2a-2a+1=4a^2-4a+1`

4)
`(2-a)(2-a)=4-2a-2a+a^2=4-4a+a^2`