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The length of Kara's rectangular patio can be expressed as 2x - 1 and the width can be expressed as x + 6. In the terms of x, what is the area of her patio?
Since the area of a rectangle is A = length times width and multiply the two expressions together: (2x - 1)(x + 6). Use FOIL (First terms of each binomial multiplied, Outer terms in each multiplied, Inner terms of every multiplied, and Last term of every binomial multiplied) to multiply the binomials: (2x • x) + (2x • 6) - (1 • x) - (1 • 6). Simplify: 2x2 + 12x - x - 6; combine like terms: 2x2 + 11x - 6.
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