Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer.\newline4g2(4g2+2g)4g^2(4g^2 + 2g)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Multiply a polynomial by a monomialright chevron icon

Full solution

Q. Find the product. Simplify your answer.\newline4g2(4g2+2g)4g^2(4g^2 + 2g)
  1. Distribute 4g24g^2: Distribute 4g24g^2 to both terms inside the parentheses.\newline4g2(4g2+2g)=4g2×4g2+4g2×2g4g^2(4g^2 + 2g) = 4g^2 \times 4g^2 + 4g^2 \times 2g
  2. Simplify 4g2×4g24g^2 \times 4g^2: Simplify 4g2×4g24g^2 \times 4g^2.\newline4g2×4g2=16g44g^2 \times 4g^2 = 16g^4
  3. Simplify 4g2×2g4g^2 \times 2g: Simplify 4g2×2g4g^2 \times 2g.\newline4g2×2g=8g34g^2 \times 2g = 8g^3
  4. Combine simplified terms: Combine the simplified terms to get the final answer.\newline4g2(4g2+2g)=16g4+8g34g^2(4g^2 + 2g) = 16g^4 + 8g^3

More problems from Multiply a polynomial by a monomial

Question
Find the degree of this polynomial.\newline`5b^{10} + 3b^3`\newline_______
Get tutor helpright-arrow

Posted 3 months ago

Question
Subtract.\newline(9a+5)−(2a+4)(9a + 5) - (2a + 4)\newline____
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the product. Simplify your answer. \newline−3v2(v2−9)-3v^2(v^2 - 9)\newline________
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the product. Simplify your answer.\newline(v−3)(4v+1)(v - 3)(4v + 1)\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the square. Simplify your answer.\newline(3y+2)2(3y + 2)^2\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Divide. If there is a remainder, include it as a simplified fraction.\newline(24t2+36t)÷6t(24t^2 + 36t) \div 6t\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Is the function q(x)=x6−9 q(x) = x^6 - 9 even, odd, or neither?\newlineChoices:\newline[[even][odd][neither]]\text{[[even][odd][neither]]}
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the product. Simplify your answer. \newline−3q2(−3q2+q)-3q^2(-3q^2 + q)\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the product. Simplify your answer.\newline(r+3)(4r+2)(r + 3)(4r + 2)\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the roots of the factored polynomial.\newline(x+7)(x+4)(x + 7)(x + 4)\newlineWrite your answer as a list of values separated by commas.\newlinex=x = ____
Get tutor helpright-arrow

Posted 3 months ago

View all (90)