Performing Operations on Polynomials| Algebra| ENGG10 LE1 Problem 5

Perform the given operations

\left(3b+6\right)\left(3b-6\right)\left(9b^2-36\right)

SOLUTION:

\left(3b+6\right)\left(3b-6\right)\left(9b^2-36\right)

=\left[\left(3b\right)^2-\left(6\right)^2\right]\left(9b^2-36\right)

=\left(9b^2-36\right)\left(9b^2-36\right)

=\left(9b^2\right)^2-2\left(9b^2\right)\left(36\right)+\left(36\right)^2

=81b^4-648b^2+1296

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