TipsQuestion textExpand and simplify the expression.(w + 13)(w + 7)a.b.c.d.
Question
TipsQuestion textExpand and simplify the expression.(w + 13)(w + 7)a.b.c.d.
Solution
To expand and simplify the expression (w + 13)(w + 7), you need to apply the distributive property, also known as the FOIL method. FOIL stands for First, Outer, Inner, Last.
First, multiply the first terms in each binomial: w * w = w^2
Next, multiply the outer terms: w * 7 = 7w
Then, multiply the inner terms: 13 * w = 13w
Finally, multiply the last terms in each binomial: 13 * 7 = 91
Now, add all these results together: w^2 + 7w + 13w + 91
Combine like terms: w^2 + 20w + 91
So, the expanded and simplified form of the expression (w + 13)(w + 7) is w^2 + 20w + 91.
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