Multiply (a-7/2)^2

Math
(a-72)2
Rewrite (a-72)2 as (a-72)(a-72).
(a-72)(a-72)
Expand (a-72)(a-72) using the FOIL Method.
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Apply the distributive property.
a(a-72)-72(a-72)
Apply the distributive property.
a⋅a+a(-72)-72(a-72)
Apply the distributive property.
a⋅a+a(-72)-72a-72(-72)
a⋅a+a(-72)-72a-72(-72)
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
a2+a(-72)-72a-72(-72)
Combine a and 72.
a2-a⋅72-72a-72(-72)
Move 7 to the left of a.
a2-7⋅a2-72a-72(-72)
Combine a and 72.
a2-7a2-a⋅72-72(-72)
Move 7 to the left of a.
a2-7a2-7⋅a2-72(-72)
Multiply -72(-72).
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Multiply -1 by -1.
a2-7a2-7a2+1(72)72
Multiply 72 by 1.
a2-7a2-7a2+72⋅72
Multiply 72 and 72.
a2-7a2-7a2+7⋅72⋅2
Multiply 7 by 7.
a2-7a2-7a2+492⋅2
Multiply 2 by 2.
a2-7a2-7a2+494
a2-7a2-7a2+494
a2-7a2-7a2+494
Subtract 7a2 from -7a2.
a2-27a2+494
a2-27a2+494
Simplify each term.
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Cancel the common factor of 2.
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Factor 2 out of -2.
a2+2(-1)7a2+494
Cancel the common factor.
a2+2⋅-17a2+494
Rewrite the expression.
a2-1(7a)+494
a2-1(7a)+494
Multiply 7 by -1.
a2-7a+494
a2-7a+494
Multiply (a-7/2)^2

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