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Exercise

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

Step-by-step Solution

1

Multiply the single term $-4b$ by each term of the polynomial $\left(2b-a\right)$

$\left(a-3b\right)^2-8b\cdot b+4ab+5$
2

When multiplying two powers that have the same base ($b$), you can add the exponents

$\left(a-3b\right)^2-8b^2+4ab+5$
3

Expand $\left(a-3b\right)^2$

$a^2-6ab+\left(-3b\right)^2-8b^2+4ab+5$
4

Combining like terms $-6ab$ and $4ab$

$a^2-2ab+\left(-3b\right)^2-8b^2+5$

Final answer to the exercise

$a^2-2ab+\left(-3b\right)^2-8b^2+5$

Try other ways to solve this exercise

  • Choose an option
  • 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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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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