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0, comma, 5, left parenthesis, x, plus, h, right parenthesis, squared, minus, left parenthesis, x, plus, h, right parenthesis, plus, 3
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0.5\left(x^{2}+2xh+h^{2}\right)-\left(x+h\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+h\right)^{2}.
0.5x^{2}+xh+0.5h^{2}-\left(x+h\right)+3
Use the distributive property to multiply 0.5 by x^{2}+2xh+h^{2}.
0.5x^{2}+xh+0.5h^{2}-x-h+3
To find the opposite of x+h, find the opposite of each term.
0.5\left(x^{2}+2xh+h^{2}\right)-\left(x+h\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+h\right)^{2}.
0.5x^{2}+xh+0.5h^{2}-\left(x+h\right)+3
Use the distributive property to multiply 0.5 by x^{2}+2xh+h^{2}.
0.5x^{2}+xh+0.5h^{2}-x-h+3
To find the opposite of x+h, find the opposite of each term.