Foil Formula

FOIL is a mnemonic for the standard method of multiplying two binomials, hence the method may be referred to as the FOIL method.


The word FOIL is an acronym for the four terms of the product:

  • First (“first” terms of each binomial are multiplied together)
  • Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)
  • Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)
  • Last (“last” terms of each binomial are multiplied)

The general form is:

fpil 2

Solved Examples

Question 1: Evaluate (2x+4)(5x+3) ?


Given function is, (2x + 4) (5x + 3)

According to foil formula,

$(2x + 4) (5x + 3) = (2x \times 5x + 2x \times 3) + (4 \times 5x + 4 \times 3)$
$(2x + 4) (5x + 3) = 10x^{2} + 6x + 20x + 12$
$(2x + 4) (5x + 3) = 10x^{2} + 26x + 12$

Practise This Question

A ball is connected to a rope and swung around in uniform circular motion. The tension in the rope is measured at 10 N and the radius of the circle is 1 m. How much work is done in one revolution around the circle?

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