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(2ax + 1/2 bx)2
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(2ax+1/2bx)(2ax+1/2bx) (2ax)(2ax)= 4a^2x^2 (2ax)(1/2bx)=abx^2 (1/2bx)(2ax)=abx^2 (1/2bx)(1/2bx)=0.25b^2x^2 \[4a^{2}x ^{2}+2abx ^{2}+0.25b ^{2}x ^{2}\]
if you have \[\left( 2ax+ \frac{1}{2}bx \right)^2\]then the expansion is\[=4a^2x^2+2abx^2+\frac{1}{4}b^2x^2\]
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