(x+7)(x-4)
x²+3x-28
To expand this expression, we can use the FOIL method:
FOIL stands for:
– First: Multiply the first terms of each binomial (x * x = x^2)
– Outer: Multiply the outer terms of each binomial (x * -4 = -4x)
– Inner: Multiply the inner terms of each binomial (7 * x = 7x)
– Last: Multiply the last terms of each binomial (7 * -4 = -28)
Finally, we can simplify the expression by combining like terms:
(x+7)(x-4) = x^2 – 4x + 7x – 28 = x^2 + 3x – 28
Therefore, (x+7)(x-4) can be simplified to x^2 + 3x – 28.
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