Simplify (4a+7)^2

Math
(4a+7)2
Rewrite (4a+7)2 as (4a+7)(4a+7).
(4a+7)(4a+7)
Expand (4a+7)(4a+7) using the FOIL Method.
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Apply the distributive property.
4a(4a+7)+7(4a+7)
Apply the distributive property.
4a(4a)+4a⋅7+7(4a+7)
Apply the distributive property.
4a(4a)+4a⋅7+7(4a)+7⋅7
4a(4a)+4a⋅7+7(4a)+7⋅7
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
4⋅4a2+4a⋅7+7(4a)+7⋅7
Multiply 4 by 4.
16a2+4a⋅7+7(4a)+7⋅7
Multiply 7 by 4.
16a2+28a+7(4a)+7⋅7
Multiply 4 by 7.
16a2+28a+28a+7⋅7
Multiply 7 by 7.
16a2+28a+28a+49
16a2+28a+28a+49
Add 28a and 28a.
16a2+56a+49
16a2+56a+49
Simplify (4a+7)^2

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