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A number, x, increased through 3 is multiplied by the similar number, x, increased by 4. What is the product of the two numbers in terms of x?
The two numbers in terms of x would be x + 3 and x + 4 because increased through would tell you to add. Product tells you to multiply these two quantities: (x + 3)(x + 4). Use FOIL (First terms of each binomial multiplied, Outer terms within each multiplied, Inner terms of each multiplied, and Last term of each binomial multiplied) to multiply the binomials: (x • x) + (4 • x) + (3 • x) + (3 • 4); simplify every term: x2 + 4x + 3x + 12. Combine like terms: x2 + 7x + 12.
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