Question

Which products result in a difference of squares or a perfect square trinomial? Check all that apply.

Answer 1

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

$(7x+4)(7x+4)=49x^2+56x+14$

Step-by-step explanation:

$(7x+4)(7x+4)=(7x+4)^2$ ( using $(a+b)(a+b)=(a+b)^2$ )

$=(7x)^2+2(7x)(4)+4^2$ ( using $(a+b)^2=a^2+2ab+b^2$ )

$=7^2x^2+56x+16$

$=49x^2+56x+14$

Therefore $(7x+4)(7x+4)=49x^2+56x+14$

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

$(7x+4)(7x+4)=49x^2+56x+14$

Answer 2

Answer:

A, (5x + 3)(5x – 3)

B, (7x + 4)(7x + 4)

E, (x – 9)(x – 9)

F, (–3x – 6)(–3x + 6)

Step-by-step explanation: