Factor (w+g)^2+9

Math
(w+g)2+9
Rewrite (w+g)2 as (w+g)(w+g).
(w+g)(w+g)+9
Expand (w+g)(w+g) using the FOIL Method.
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Apply the distributive property.
w(w+g)+g(w+g)+9
Apply the distributive property.
w⋅w+wg+g(w+g)+9
Apply the distributive property.
w⋅w+wg+gw+g⋅g+9
w⋅w+wg+gw+g⋅g+9
Simplify and combine like terms.
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Simplify each term.
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Multiply w by w.
w2+wg+gw+g⋅g+9
Multiply g by g.
w2+wg+gw+g2+9
w2+wg+gw+g2+9
Add wg and gw.
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Reorder w and g.
w2+gw+gw+g2+9
Add gw and gw.
w2+2gw+g2+9
w2+2gw+g2+9
w2+2gw+g2+9
Factor (w+g)^2+9

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