Multiplying a Binomial by a Monomial

r x q

• 2r

• r²

• rq

• 2rq

Answer explanation

When multiplying two varibales, just put them together.

x(y) = xy

a x b = ab

5 x a

• 5a

• a⁵

• a + 5

• 5

Answer explanation

To multiply a number times a variable, just put them together.

7 x c = 7c

x(x)

• 2x

• 2x²

• x²

• 2 + z

Answer explanation

x = x¹

x times x = x¹⁺¹

5x(x³)

• 15x

• 5x³

• x¹⁵

• 5x⁴

Answer explanation

Keep the coefficient.

Add the exponents.

x times x³ = x⁴

*Remember x = x¹

4y² x 4y⁵

• 4y⁷

• 16y⁷

• 16y

• 6y + 9

Answer explanation

Mulyiply the coefficients, add the exponents.

10x²(4x³) = 10x⁵

10 times 4

2 plus 3

3(x - 5)

• 3x - 5

• x - 15

• 3x - 15

• x + 3 + 15

Answer explanation

Th distributive property. Multiply what's outside the parenthesis by every term inside the parenthesis.

2(a + 3) = 2 x a + 2 x 3

= 2a + 6

3r³(2r² + 5r)

• 6r⁵ + 15r⁴

• 5r³ + 8r³

• 6r⁵ + 15r³

• 5r⁶ + 15r

Answer explanation

Multiply teh coefficients, add the exponents. Multiply what' outside the parenthesis by everything insode the parenthesis.