Question

Simplify the polynomial.
a.
18a+(a–9)^2

Answer 1

18a+(a−9)2

Distribute:

=18a+a2+−18a+81

Combine Like Terms:

=18a+a2+−18a+81

=(a2)+(18a+−18a)+(81)

=a2+81

Answer:

=a2+81

Answer 2

a² + 81 is your answer

Explanation:

First, expand the power:

(a - 9)² = (a - 9)(a - 9)

Use the FOIL method.

(a)(a) = a²

(a)(-9) = -9a

(-9)(a) = -9a

(-9)(-9) = 81

Combine like terms: a² - 9a - 9a + 81

a² (- 9a - 9a) + 81

a² - 18a + 81

Simplify. Combine like terms:

18a + a² - 18a + 81

a² + (18a - 18a) + 81

a² + 81

a² + 81 is your answer

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