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Exercise

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

Step-by-step Solution

1

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

$15x^2\cdot x^2-5x\cdot x^2+25x^2$
2

When multiplying exponents with same base we can add the exponents

$15x^{4}-5x\cdot x^2+25x^2$
3

When multiplying exponents with same base you can add the exponents: $-5x\cdot x^2$

$15x^{4}-5x^{3}+25x^2$

Final answer to the exercise

$15x^{4}-5x^{3}+25x^2$

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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$-2x^{2}+20x-5$
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