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. (3d+4)(3d-4)

Find the product. Simplify your answer.\newline(3d+4)(3d−4) (3 d+4)(3 d-4)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Multiply two binomials: special casesright chevron icon

Full solution

Q. Find the product. Simplify your answer.\newline(3d+4)(3d−4) (3 d+4)(3 d-4)
  1. Identify Special Case: Identify the special case that applies to the given expression.\newlineThe expression (3d+4)(3d−4)(3d+4)(3d-4) is in the form of (a+b)(a−b)(a+b)(a-b).\newlineSpecial case: (a+b)(a−b)=a2−b2(a+b)(a-b) = a^2 - b^2
  2. Identify Values: Identify the values of aa and bb. Compare (3d+4)(3d−4)(3d+4)(3d-4) with (a+b)(a−b)(a+b)(a-b). a=3da = 3d b=4b = 4
  3. Apply Formula: Apply the difference of squares formula to expand (3d+4)(3d−4)(3d+4)(3d-4).\newline(a+b)(a−b)=a2−b2(a+b)(a-b) = a^2 - b^2\newline(3d+4)(3d−4)=(3d)2−(4)2(3d+4)(3d-4) = (3d)^2 - (4)^2
  4. Simplify Expression: Simplify (3d)2−(4)2.(3d)^2 - (4)^2.(3d)2−(4)2=(3d×3d)−(4×4)(3d)^2 - (4)^2 = (3d \times 3d) - (4 \times 4)=9d2−16= 9d^2 - 16

More problems from Multiply two binomials: special cases

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

Posted 2 months ago

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

Posted 2 months ago

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

Posted 1 month ago

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

Posted 2 months ago

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

Posted 2 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 2 months ago

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

Posted 2 months ago

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

Posted 2 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 2 months ago

View all (198)