Expansion of Binomials| Algebra| ENGG10 LE1 Problem 8

Expand the following binomial

\left(-2x-3y\right)^6

SOLUTION:

\left(-2x-3y\right)^6

=1\left(-2x\right)^6\left(-3y\right)^0+6\left(-2x\right)^5\left(-3y\right)^1+15\left(-2x\right)^4\left(-3y\right)^2+20\left(-2x\right)^3\left(-3y\right)^3+15\left(-2x\right)^2\left(-3y\right)^4+6\left(-2x\right)^1\left(-3y\right)^5+1\left(-2x\right)^0\left(-3y\right)^6

=64x^6+576x^5y+2160x^4y^2+4320x^3y^3+4860x^2y^4+2916xy^5+729y^6

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