Learn How To Simplify Binomial Multiplication Using The Distributive Property

(x + 8)(x – 1)

x² + 7x – 8

To multiply these two binomials together, we will use the distributive property. We start by multiplying the first term in the first parentheses (which is x) by every term in the second parentheses. Then we multiply the second term in the first parentheses (which is 8) by every term in the second parentheses. This gives us:

(x)(x) + (x)(-1) + (8)(x) + (8)(-1)

We simplify each term by multiplying out the values and combining like terms:

x^2 – x + 8x – 8

Finally, we can combine the -x and 8x terms to get:

x^2 + 7x – 8

Therefore, (x + 8)(x – 1) simplifies to x^2 + 7x – 8.

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