Factor the perfect square trinomial y2 + 8y + 16
2 answers:
Answer:Use the formula
(b2)2 in order to create a new term in order to find the perfect square trinomial.
y2+8y+32
Step-by-step explanation:
Step-by-step explanation:
y² + 8y + 16
let's just think in general, what is (y + c)² ?
(y + c)² = y² + 2cy + c²
now compare with the original expression.
then c² = 16, and c = ±4
and 2c = 8
c = +4
so, the answer is
y² + 8y + 16 = (y + 4)² = (y + 4)(y + 4)
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