(x+5)(x-2)
x²+3x-10
To multiply two binomials like (x+5)(x-2), we will first use the distributive property of multiplication over addition to multiply the first term of the first binomial by each term of the second binomial and then multiply the second term of the first binomial by each term of the second binomial. Finally, we will simplify the resulting expression.
Therefore,
(x+5)(x-2)
= x(x-2) + 5(x-2) (using distributive property)
= x^2 – 2x + 5x – 10 (simplifying)
= x^2 + 3x – 10
Hence, (x+5)(x-2) = x^2 + 3x – 10.
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