Question

Which products result in a perfect square trinomial? Select three options,

(-*+9)(-x-9)


(xy + x)(xy + x)


(2x - 3)(-3+2x)


(16-*")(2-16)


(4x2+25)(25+4x)

Answer 1

B. (xy + x)(xy + x)

C. (2x - 3)(-3+2x)

E. (4x2+24)(24+4x)

Answer 2

Answer the three options result in a perfect square trinomial are:

(xy+x)*(xy+x)

(2x-3)*(-3+2x)

(
`(4x^(2) +25)*(25+4x^(2))`

Explanation:

Notice the trinomial square

`(xy+x)*(xy+x)\\(xy*xy)+(xy*x)+(x*xy)+(x*x)\\x^(2) *y^(2) +2x^(2) y+x^(2)`

`(2x-3)*(-3+2x)\\(2x*-3)+(2x*2x)+(-3*2x)+(-3*-3)\\4x^(2) -12x+9`

`(4x^(2)+25)*(25+4x^(2) )\\ (4x^(2)*25)+(25*25)+(4x^(2)*4x^(2) )+(4x^(2) *25)\\16x^(4) +100x^(2) +625`

Notice all function has the form

`a^(2) +2*a*b +b^(2)`