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Exercise

$\left(2x^3+5x-3\right)-\left(2x^3-3x^2+4x\right)$

Step-by-step Solution

1

Simplify the product $-(2x^3-3x^2+4x)$

$2x^3+5x-3-2x^3-\left(-3x^2+4x\right)$
2

Simplify the product $-(-3x^2+4x)$

$2x^3+5x-3-2x^3+3x^2-4x$
3

Cancel like terms $2x^3$ and $-2x^3$

$5x-3+3x^2-4x$
4

Combining like terms $5x$ and $-4x$

$x-3+3x^2$

Final answer to the exercise

$x-3+3x^2$

Try other ways to solve this exercise

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$5a-6b+8c+9a-20c-b+6b-c$

$5a+2b-3a+4$

$2x+7x+x-8x$

Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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