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\left(-x-\left(-6y\right)\right)\left(x+6y\right)
To find the opposite of x-6y, find the opposite of each term.
\left(-x+6y\right)\left(x+6y\right)
The opposite of -6y is 6y.
-x^{2}-6xy+6yx+36y^{2}
Apply the distributive property by multiplying each term of -x+6y by each term of x+6y.
-x^{2}+36y^{2}
Combine -6xy and 6yx to get 0.
\left(-x-\left(-6y\right)\right)\left(x+6y\right)
To find the opposite of x-6y, find the opposite of each term.
\left(-x+6y\right)\left(x+6y\right)
The opposite of -6y is 6y.
-x^{2}-6xy+6yx+36y^{2}
Apply the distributive property by multiplying each term of -x+6y by each term of x+6y.
-x^{2}+36y^{2}
Combine -6xy and 6yx to get 0.