Final answer to the problem
$8a^3-12a^2b+12a^2c-b^3+6ab^2+3b^2c+c^3+6ac^2-3bc^2-12abc$
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Step-by-step Solution
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Expand the cube of a trinomial
$\left(2a\right)^3+3\left(-1\right)\left(2a\right)^2b+3\left(2a\right)^2c+\left(-b\right)^3+3\cdot 2a\left(-b\right)^2+3\left(-b\right)^2c+c^3+3\cdot 2ac^2+3\left(-1\right)bc^2+6\cdot 2\left(-1\right)abc$
Learn how to solve special products problems step by step online.
$\left(2a\right)^3+3\left(-1\right)\left(2a\right)^2b+3\left(2a\right)^2c+\left(-b\right)^3+3\cdot 2a\left(-b\right)^2+3\left(-b\right)^2c+c^3+3\cdot 2ac^2+3\left(-1\right)bc^2+6\cdot 2\left(-1\right)abc$
Learn how to solve special products problems step by step online. Expand the expression (2a-bc)^3. Expand the cube of a trinomial. Multiply 3 times -1. Multiply 3 times 2. Multiply 3 times 2.
Final answer to the problem
$8a^3-12a^2b+12a^2c-b^3+6ab^2+3b^2c+c^3+6ac^2-3bc^2-12abc$