Question

Which expression is the simplest form of 2x^3 - x^2 + 3 (x^3 - 4x^2)

Answer 1

The simplest form of the given expression is 5x^3-5x^2.

We have given that

$2x^3 - x^2 + 3 (x^3 - 4x^2)$

We have to determine the simplest form of the given expression.

What is the distributive property?

The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.

Use the distributive property we get,

$2x^3 - x^2 + 3 (x^3 - 4x^2)\\=2x^3 - x^2 +3x^3-12x^2$

Add like terms we get,

Therefore we get,

$=5x^3-5x^2$

Therefore the simplest form of the given expression is 5x^3-5x^2.

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