Question

Factor the perfect square trinomials. Write your answer in the form of (a+b)2
or (a−b)2

(1 point)
1) x2+6x+9=

2) x2+10x+25=

3) 9x2+12x+4=

4) 9x2−30x+25=

Answer 1

To factor the perfect square trinomials, we will look for expressions of the form \((a + b)^2\) or \((a - b)^2\).

1) \(x^2 + 6x + 9 = (x + 3)^2\)

2) \(x^2 + 10x + 25 = (x + 5)^2\)

3) \(9x^2 + 12x + 4 = (3x + 2)^2\)

4) \(9x^2 - 30x + 25 = (3x - 5)^2\)

So, the factored forms are:
1) \((x + 3)^2\)
2) \((x + 5)^2\)
3) \((3x + 2)^2\)
4) \((3x - 5)^2\)