Multiplying Binomials Calculator

Your details

The coefficient of x in the first binomial. Example: for (3x - 2), enter 3.
The constant term in the first binomial. Example: for (3x - 2), enter -2.
The coefficient of x in the second binomial. Example: for (x + 5), enter 1.
The constant term in the second binomial. Example: for (x + 5), enter 5.
Expanded product
3x² + 13x - 10

The fully expanded and simplified trinomial.

x² coefficient3
x coefficient13
Constant term-10
Product patternGeneral Binomial Product
x² coefficient3
x coefficient13
Constant-10

(3x - 2)(x + 5) = 3x² + 13x - 10

  • The product (3x - 2)(x + 5) expands to 3x² + 13x - 10.
  • The quadratic coefficient is 3 (First: 3 x 1), the linear coefficient is 13 (Outer + Inner: 15 + -2), and the constant is -10 (Last: -2 x 5).

Next stepUse this expanded form to solve quadratic equations by setting it equal to zero and applying the quadratic formula or factoring.

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