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Complete the area model to identify the quadratic expression

Complete the area model to identify the quadratic expression-example-1

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Answer:

15x² + 22x + 8

Explanation:

The length is the sum of the 2 parts, that is (5x + 4)

The width is the sum of the 2 parts, that is (3x + 2)

Area = length × width, that is

A = (5x + 4)(3x + 2) ← expand factors using FOIL

= 15x² + 10x + 12x + 8 ← collect like terms

= 15x² + 22x + 8

User Nathan Bubna
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