Multiplying Binomials Calculator

Multiply two binomials using the FOIL method: (a+b)(c+d)

Coefficient a

Constant b

Coefficient c

Constant d

F - First

Multiply the first terms

(ax)(cx) = acx²

O - Outer

Multiply the outer terms

(ax)(d) = adx

I - Inner

Multiply the inner terms

(b)(cx) = bcx

L - Last

Multiply the last terms

(b)(d) = bd

Combine Like Terms

acx² + (ad + bc)x + bd

(x + 2)(x + 3)

= x² + 3x + 2x + 6

= x² + 5x + 6

(x - 4)(x + 5)

= x² + 5x - 4x - 20

= x² + x - 20

(2x + 1)(3x - 2)

= 6x² - 4x + 3x - 2

= 6x² - x - 2

(x + 5)(x - 5)

= x² - 5x + 5x - 25

= x² - 25

Algebra

• Expanding expressions

• Solving equations

• Factoring practice

Geometry

• Area calculations

• Rectangle dimensions

• Perimeter problems

Calculus

• Polynomial expansion

• Differentiation

• Integration prep