Simplifying rational expressions help?

Question

(x + 2) (x + 5)
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(x^2 + 4x + 4)

Answer 1

The rationa expression (x + 2)(x + 5)/(x² + 4x + 4)

= [(x + 2)(x + 5)]/[x² + 2(2)x + 2²]

{Apply the formula ( a + b)² = a² + b² + 2ab}

= [(x + 2)(x + 5)]/(x + 2)²

= [(x + 2)(x + 5)]/[(x + 2)(x + 2)]

Cancel common terms.

(x + 2)(x + 5)/(x² + 4x + 4) = ( x + 5)/(x + 2).