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Exercise

$\left(-2x^3+x\right)-\left(7x-3-7x^3\right)$

Step-by-step Solution

1

Simplify the product $-(7x-3-7x^3)$

$-2x^3+x-7x-\left(-3-7x^3\right)$
2

Simplify the product $-(-3-7x^3)$

$-2x^3+x-7x+3+7x^3$
3

Combining like terms $-2x^3$ and $7x^3$

$5x^3+x-7x+3$
4

Combining like terms $x$ and $-7x$

$5x^3-6x+3$

Final answer to the exercise

$5x^3-6x+3$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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$\left(5x+2y\right)\left(5x-2y\right)$

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$\left(x-6\right)\left(x-5\right)$

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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