Question

(threex – 2)(fourx + one) =

Answer 1

Answer: 12x² - 5x - 2

Concept:

When doing questions that need to expand algebraic expressions, using the FOIL method will ease the process:

• First means that we multiply the terms which occur in the first position of each binomial.
• Outer means that we multiply the terms which are located in both ends (outermost) of the two binomials when written side-by-side.
• Inner means that we multiply the middle two terms of the binomials when written side-by-side.
• Last means that we multiply the terms which occur in the last position of each binomial.

Solve:

Given expression

(3x - 2) (4x + 1)

Expand parentheses and apply the FOIL method

First: 3x · 4x = 12x²

Outer: 3x · 1 = 3x

Inner: (-2) · 4x = -8x

Last: (-2) · 1 = -2

12x² + 3x - 8x - 2

Combine like terms

12x² + (3x - 8x) - 2

$\boxed{12^2-5x-2}$

Hope this helps!! :)

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