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-1)(x+4)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x1)(x+4)=(x-1)(x+4)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x1)(x+4)=(x-1)(x+4)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x1)(x+4)(x-1)(x+4).\newlineFirst, multiply the first terms in each binomial: x×x=x2x \times x = x^2.\newlineNext, multiply the outer terms: x×4=4xx \times 4 = 4x.\newlineThen, multiply the inner terms: 1×x=x-1 \times x = -x.\newlineFinally, multiply the last terms: 1×4=4-1 \times 4 = -4.
  2. Multiply first terms: Combine the like terms from the multiplication.\newlineWe have x2x^2 from the first terms, 4x4x and x-x from the outer and inner terms, and 4-4 from the last terms.\newlineCombining 4x4x and x-x gives us 3x3x.\newlineSo, the expression becomes x2+3x4x^2 + 3x - 4.

More problems from Multiply two binomials