Math & Science Essential

FOIL Calculator (First, Outer, Inner, Last) 2026

Multiply two binomials (ax + b)(cx + d) with step-by-step FOIL expansion.

Instant real-time calculation

First: x coeff (a)

Binomial 1: (ax + b).

First: constant (b)

Binomial 1 constant.

Second: x coeff (c)

Binomial 2: (cx + d).

Second: constant (d)

Binomial 2 constant.

Calculation Output

Result

12x² - 7x - 10Expanded Polynomial

FOIL: F=12x², O=-15x, I=8x, L=-10

100.0

FOIL: F=12x², O=-15x, I=8x, L=-10

Detailed Breakdown

Expanded Result12x² - 7x - 10

First (F)12x²

Outer (O)-15x

Inner (I)8x

Last (L)-10

Middle Term (O + I)-7x

F: (3x)(4x) = 12x² | O: (3x)(-5) = -15x | I: (2)(4x) = 8x | L: (2)(-5) = -10. Combining Outer + Inner (-15x + 8x = -7x) yields 12x² - 7x - 10.

Comprehensive Guide to FOIL Calculator (First, Outer, Inner, Last) 2026

The FOIL acronym is the most widely taught mnemonic for expanding the product of two binomials $(ax + b)(cx + d)$:

F — First: Multiply the first terms in each set of parentheses: $(ax)(cx) = ac x^2$.
O — Outer: Multiply the outermost terms: $(ax)(d) = ad x$.
I — Inner: Multiply the innermost terms: $(b)(cx) = bc x$.
L — Last: Multiply the last constant terms: $(b)(d) = bd$.

No. FOIL only applies to multiplying two binomials (2 terms * 2 terms = 4 terms). For trinomials, use the distributive property or the box method.