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10x+74
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10x+74
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49-x^{2}+\left(x+5\right)^{2}
Consider \left(7-x\right)\left(7+x\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 7.
49-x^{2}+x^{2}+10x+25
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
49+10x+25
Combine -x^{2} and x^{2} to get 0.
74+10x
Add 49 and 25 to get 74.
49-x^{2}+\left(x+5\right)^{2}
Consider \left(7-x\right)\left(7+x\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 7.
49-x^{2}+x^{2}+10x+25
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
49+10x+25
Combine -x^{2} and x^{2} to get 0.
74+10x
Add 49 and 25 to get 74.
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