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.\newline(4z−3)(2z+3)(4z - 3)(2z + 3)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Multiply two binomialsright chevron icon

Full solution

Q. Find the product. Simplify your answer.\newline(4z−3)(2z+3)(4z - 3)(2z + 3)
  1. Apply Distributive Property: Apply the distributive property to multiply the two binomials (4z−3)(4z - 3) and (2z+3)(2z + 3).(4z−3)(2z+3)=4z(2z+3)−3(2z+3)(4z - 3)(2z + 3) = 4z(2z + 3) - 3(2z + 3)
  2. Distribute 4z4z: Distribute 4z4z across the terms inside the parentheses (2z+3)(2z + 3).\newline4z(2z+3)=4z×2z+4z×34z(2z + 3) = 4z \times 2z + 4z \times 3\newline=8z2+12z= 8z^2 + 12z
  3. Distribute −3-3: Distribute −3-3 across the terms inside the parentheses (2z+3)(2z + 3).−3(2z+3)=−3×2z−3×3=−6z−9-3(2z + 3) = -3 \times 2z - 3 \times 3 = -6z - 9
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(4z−3)(2z+3)=8z2+12z−6z−9(4z - 3)(2z + 3) = 8z^2 + 12z - 6z - 9
  5. Combine Like Terms: Combine like terms 12z12z and −6z-6z.8z2+12z−6z−9=8z2+(12z−6z)−9=8z2+6z−98z^2 + 12z - 6z - 9 = 8z^2 + (12z - 6z) - 9 = 8z^2 + 6z - 9

More problems from Multiply two binomials

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 (408)