Final answer to the problem
$64a^3+96a^2b-144a^2c+8b^3+48ab^2-9c4b^2+\left(-3c\right)^3+12a\left(-3c\right)^2+6b\left(-3c\right)^2-144abc$
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Step-by-step Solution
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1
Expand the cube of a trinomial
$\left(4a\right)^3+3\cdot 2\left(4a\right)^2b+3\cdot -3\left(4a\right)^2c+\left(2b\right)^3+3\cdot 4a\left(2b\right)^2+3\cdot -3\left(2b\right)^2c+\left(-3c\right)^3+3\cdot 4a\left(-3c\right)^2+3\cdot 2b\left(-3c\right)^2+6\cdot 4\cdot 2\cdot -3abc$
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$\left(4a\right)^3+3\cdot 2\left(4a\right)^2b+3\cdot -3\left(4a\right)^2c+\left(2b\right)^3+3\cdot 4a\left(2b\right)^2+3\cdot -3\left(2b\right)^2c+\left(-3c\right)^3+3\cdot 4a\left(-3c\right)^2+3\cdot 2b\left(-3c\right)^2+6\cdot 4\cdot 2\cdot -3abc$
Learn how to solve problems step by step online. Expand the expression (4a+2b-3c)^3. Expand the cube of a trinomial. Multiply 3 times 2. Multiply 3 times -3. Multiply 3 times 4.
Final answer to the problem
$64a^3+96a^2b-144a^2c+8b^3+48ab^2-9c4b^2+\left(-3c\right)^3+12a\left(-3c\right)^2+6b\left(-3c\right)^2-144abc$