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(x+3)^2+14(x+3)+49 factor completely

1 Answer

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Answer:

(x + 10)²

Explanation:

Given

(x + 3)² + 14(x + 3) + 49

Use the substitution u = x + 3, then the expression can be written as

u² + 14u + 49 ← which is a perfect square trinomial

= (u + 7)² ← change u back into terms of x

= (x + 3 + 7)²

= (x + 10)²

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