Answer:
An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)
Step-by-step explanation:
Factor x2+ 6x + 9
Solution
We can rewrite the expression x2 + 6x + 9 in the form a2 + 2ab + b2 as;
x2+ 6x + 9 ⟹ (x)2 + 2 (x) (3) + (3)2
Applying the formula of a2 + 2ab + b2 = (a + b)2 to the expression gives;
= (x + 3)2
= (x + 3) (x + 3)
