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\[(2x+5y)^{2}\]
\[(2x + 5y)^2 \implies (2x + 5y)(2x + 5y) \]Fair hint?
Now use
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First, outside, inside, last.
\[(2x + 5y)(2x + 5y) \implies 2x(2x + 5y) + 5y(2x + 5y) \]
(2x)(2x) first, (2x)(5y) outside, (5x)(2y) inside, (5y)(5y) last.
foil or tin foil
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use the formula\[(a+b)^2=a^2+2ab+b^2\]
Here, a=2x & b=5y so,\[(2x+5y)^2=(2x)^2+2(2x)(5y)+(5y)^2\]
\[4x^2+20xy+25y^2\]
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