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\left(5a+5b\right)\left(a-b\right)
Use the distributive property to multiply 5 by a+b.
5a^{2}-5ab+5ba-5b^{2}
Apply the distributive property by multiplying each term of 5a+5b by each term of a-b.
5a^{2}-5b^{2}
Combine -5ab and 5ba to get 0.
\left(5a+5b\right)\left(a-b\right)
Use the distributive property to multiply 5 by a+b.
5a^{2}-5ab+5ba-5b^{2}
Apply the distributive property by multiplying each term of 5a+5b by each term of a-b.
5a^{2}-5b^{2}
Combine -5ab and 5ba to get 0.