Step-by-step Solution

Expand the expression $\left(2a-b\right)^3$

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Step-by-step explanation

Problem to solve:

$\left(2a-b\right)^3$

Learn how to solve special products problems step by step online.

$\left(2a\right)^3+3-1b\left(2a\right)^2+3\cdot 2a\left(-b\right)^2+\left(-b\right)^3$

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Learn how to solve special products problems step by step online. Expand the expression (2a-b)^3. The cube of a binomial (difference) is equal to the cube of the first term, minus three times the square of the first by the second, plus three times the first by the square of the second, minus the cube of the second term. In other words: (a-b)^3=a^3-3a^2b+3ab^2-b^3 = (2a)^3+3(2a)^2(-b)+3(2a)(-b)^2+(-b)^3 =. Multiply 3 times -1. Multiply 3 times 2. Simplify \left(-b\right)^2.

Final Answer

$8a^3-12a^2b+6ab^2-b^3$
$\left(2a-b\right)^3$

Main topic:

Special products

Time to solve it:

~ 0.04 s (SnapXam)

Related topics:

Special products