Question

factor:5. $x^{2}-12x+36LXB0sqrt{36}=6LXB1(x-6)^2$6. $x^{2}-18x+81$7. $4x^{2}+20x+25$8. $9x^{2}+42x+49$

Explanation:

Step1: Identify perfect square form

A perfect square trinomial follows $a^2\pm2ab+b^2=(a\pm b)^2$.

For problem 6:

Confirm terms match the form:
$x^2 = (\sqrt{1}x)^2$, $81=9^2$, $2\cdot1\cdot9=18$

Step2: Write factored form

$(x - 9)^2$

For problem 7:

Step1: Identify perfect square form

$4x^2=(2x)^2$, $25=5^2$, $2\cdot2x\cdot5=20x$

Step2: Write factored form

$(2x + 5)^2$

For problem 8:

Step1: Identify perfect square form

$9x^2=(3x)^2$, $49=7^2$, $2\cdot3x\cdot7=42x$

Step2: Write factored form

$(3x + 7)^2$

Answer:

1. $(x - 9)^2$
2. $(2x + 5)^2$
3. $(3x + 7)^2$