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140xy
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140xy
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25x^{2}+70xy+49y^{2}-\left(5x-7y\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+7y\right)^{2}.
25x^{2}+70xy+49y^{2}-\left(25x^{2}-70xy+49y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-7y\right)^{2}.
25x^{2}+70xy+49y^{2}-25x^{2}+70xy-49y^{2}
To find the opposite of 25x^{2}-70xy+49y^{2}, find the opposite of each term.
70xy+49y^{2}+70xy-49y^{2}
Combine 25x^{2} and -25x^{2} to get 0.
140xy+49y^{2}-49y^{2}
Combine 70xy and 70xy to get 140xy.
140xy
Combine 49y^{2} and -49y^{2} to get 0.
25x^{2}+70xy+49y^{2}-\left(5x-7y\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+7y\right)^{2}.
25x^{2}+70xy+49y^{2}-\left(25x^{2}-70xy+49y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-7y\right)^{2}.
25x^{2}+70xy+49y^{2}-25x^{2}+70xy-49y^{2}
To find the opposite of 25x^{2}-70xy+49y^{2}, find the opposite of each term.
70xy+49y^{2}+70xy-49y^{2}
Combine 25x^{2} and -25x^{2} to get 0.
140xy+49y^{2}-49y^{2}
Combine 70xy and 70xy to get 140xy.
140xy
Combine 49y^{2} and -49y^{2} to get 0.
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