Expand the polynomial (a+5)^{2}.

Alaina Holt

Alaina Holt

Answered question

2022-05-05

Expand the polynomial (a+5)2.

Answer & Explanation

Mollie Roberts

Mollie Roberts

Beginner2022-05-06Added 21 answers

(a+5)2

Rewrite (a+5)2 as (a+5)(a+5).

(a+5)(a+5)

Expand (a+5)(a+5) using the FOIL Method.

Apply the distributive property.

a(a+5)+5(a+5)

Apply the distributive property.

aa+a5+5(a+5)

Apply the distributive property.

aa+a5+5a+55

Simplify and combine like terms.

Multiply a by a.

a2+a5+5a+55

Move 5 to the left of a.

a2+5a+5a+55

Multiply 5 by 5.

a2+5a+5a+25

Add 5a and 5a.

a2+10a+25

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