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Exercise

$\left(2x^2+5y^2\:-3x^2\right).\left(-3x\right)$

Step-by-step Solution

1

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

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

Multiply the single term $-3x$ by each term of the polynomial $\left(-x^2+5y^2\right)$

$3x^2x-15y^2x$
3

When multiplying exponents with same base you can add the exponents: $3x^2x$

$3x^{3}-15y^2x$

Final answer to the exercise

$3x^{3}-15y^2x$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
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  • Integrate by partial fractions
  • Integrate by substitution
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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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