Algebra & Expressions
Multiplying Monomials
To multiply monomials: multiply the coefficients together and add the exponents of matching variables.
Watch & Learn
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Worked Examples
Follow along with these step-by-step examples. Take your time — there's no rush!
Problem
Multiply: (3x²)(4x³)
Step-by-Step Solution
Multiply coefficients: 3 × 4 = 12.
Add exponents of x: x² × x³ = x⁵.
Answer
12x⁵
Problem
Multiply: (2x²y)(5xy³)
Step-by-Step Solution
Multiply coefficients: 2 × 5 = 10.
Add x exponents: x² × x¹ = x³.
Add y exponents: y¹ × y³ = y⁴.
Answer
10x³y⁴
Problem
Multiply: (−3a²)(4a)
Step-by-Step Solution
Multiply coefficients: −3 × 4 = −12.
Add exponents: a² × a¹ = a³.
Answer
−12a³
Problem
Multiply: (6x³)(−2x²)
Step-by-Step Solution
Multiply coefficients: 6 × (−2) = −12.
Add exponents: x³ × x² = x⁵.
Answer
−12x⁵
Problem
Multiply: (3x²y²)(4x³y)
Step-by-Step Solution
Multiply coefficients: 3 × 4 = 12.
Add x exponents: x² × x³ = x⁵.
Add y exponents: y² × y¹ = y³.
Answer
12x⁵y³
Your Turn — Practice Problems
Try all 5 problems on your own first. Write out your work — that's how it sticks!
💡 Tip: Don't peek at the answers until you've genuinely tried each one.
Multiply: (5x)(3x²)
Multiply: (2y³)(6y²)
Multiply: (4x²y)(3xy²)
Multiply: (−2a)(5a³)
Multiply: (7m²n)(2mn³)
Multiply: (3x)(3x)
Multiply: (−4y²)(−2y)
Multiply: (6a²b)(a³b²)
Multiply: (x)(x)(x)
Multiply: (−5x²)(2x³)
Multiply: (3p)(4q)
Multiply: (2x²y³)(5x²y)
Finished all 12? Give yourself a pat on the back — then check your work!
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