Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Expand.
Your answer should be a polynomial in standard form.

(x+2)(x+3)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+2)(x+3)=(x+2)(x+3)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+2)(x+3)=(x+2)(x+3)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x+2)(x+3)(x+2)(x+3).\newlineFirst, multiply the first terms in each binomial: x×x=x2x \times x = x^2.
  2. Multiply first terms: Multiply the outer terms in the binomials: x×3=3xx \times 3 = 3x.
  3. Multiply outer terms: Multiply the inner terms in the binomials: 2×x=2x2 \times x = 2x.
  4. Multiply inner terms: Multiply the last terms in each binomial: 2×3=62 \times 3 = 6.
  5. Multiply last terms: Combine the like terms from steps 22 and 33: 3x+2x=5x3x + 2x = 5x.
  6. Combine like terms: Write the expanded form by combining the results from steps 11, 55, and 44: x2+5x+6x^2 + 5x + 6.

More problems from Multiply two binomials