Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express as a trinomial.

(2x+4)(2x-6)
Answer:

Express as a trinomial.\newline(2x+4)(2x6) (2 x+4)(2 x-6) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(2x+4)(2x6) (2 x+4)(2 x-6) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x+4)(2x+4) and (2x6)(2x-6). First, multiply the first terms in each binomial: 2x×2x=4x22x \times 2x = 4x^2.
  2. Multiply First Terms: Multiply the outer terms: 2x×6=12x2x \times -6 = -12x.
  3. Multiply Outer Terms: Multiply the inner terms: 4×2x=8x4 \times 2x = 8x.
  4. Multiply Inner Terms: Multiply the last terms in each binomial: 4×6=244 \times -6 = -24.
  5. Multiply Last Terms: Combine the like terms from the products of the outer and inner terms: 12x+8x=4x-12x + 8x = -4x.
  6. Combine Like Terms: Add all the terms together to form the trinomial: 4x24x244x^2 - 4x - 24.

More problems from Multiply two binomials