Multiplying monomials and binomials

Multiplying monomials and binomials

Multiplying two monomials

• Multiply numbers

• Add exponents of like variables

 $\$  Example 1:

 $-3xy(2xy^2)$  

Example 2:

5ab (7cd)

Example 3:

 $\left(-2x^{-3}\right)\left(-x^5y^8\right)$  

Multiple Choice

Simplify:

(d⁴)(d⁵)

• 2d²⁰

• d⁹

• 2d⁹

• 9d

Multiple Choice

Simplify:

(3c²)(10c⁷)

• 13c⁹

• 30c¹⁴

• 30c⁹

• 13c¹⁴

Multiplying a Monomials by a binomial/trinomial

• Distribute the monomial to the bi/trinomial

• make sure to multiply the numbers and add exponents of like terms

Example 4:

 $2x\left(x-3\right)$  

Example 5:

 $-3x^2\left(4xy+2y-8\right)$  

Multiple Choice

Simplify:
3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a
• 10a³ + 24a + 6
• 8a³ + 11a² + 6a
• 15a³ + 24a + 6

Foil

• 1) Multiply the First term in each binomial

  2) Multiply the outside terms

  3) Multiply the inside terms

  4) Multiply the last terms in each binomial

  5) Combine any like terms 

Example 6:

(x + 2) (4x – 3)

Example 7:

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