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Learn how to apply the F.O.I.L. method to solve the expression (x + 4)(2x - 1) step by step with detailed explanations. Ideal for students seeking help with distributive property.
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The Distributive Property Using the F. O. I. L. Method Solve ( x + 4) (2x – 1) By: James Kirk Mansfield High School
The F. O. I. L. Method F • First O • Outer I • Inner L • Last
F irst O uter I nner L ast F. O. I. L. Method ( x + 4 ) ( 2x - 1) ( x + 4 ) ( 2x - 1 ) ( x ) ( 2x - 1) + 4 ( x ) ( 2x - 1 ) + 4
Step 1 F. ( x ( + 4 ) 2x - 1 ) x(2x) = 2x2
Step 2 O. ( x + 4 ) ( 2x - 1 ) 2x2 x(-1) = -x
Step 3 I. ( x ) ( + 4 2x - 1 ) +4(2x) = +8x 2x2 - x
Step 4 L. ) ( x ) ( 2x -1 + 4 2x2 – x + 8x +4(-1) = -4
Step 5 Combine Like Terms ! - x + 8x - 4 2x2 + _____ + 7x