Problem 35
Question
Find each product. $$(5-7 x)(5+7 x)$$
Step-by-Step Solution
Verified Answer
The product of (5 - 7x) and (5 + 7x) is 25 - 49x^2.
1Step 1: Use the FOIL method
The 'FOIL' method stands for First, Outer, Inner, and Last. It is a method for multiplying two binomials. Let's apply this to the given problem by multiplying (5 - 7x) and (5 + 7x). \n\nFirst: Multiply the first terms in each binomial: \(5 * 5 = 25\). \nOuter: Multiply the outer terms: \(5 * 7x = 35x\). \nInner: Multiply the inner terms: \(-7x * 5 = -35x\). \nLast: Multiply the last terms: \(-7x * 7x = -49x^2\).
2Step 2: Simplify the Expression
Combine like terms and simplify the expression: \n25 + 35x - 35x - 49x^2 simplifies to 25 - 49x^2 as the x terms cancel out.
Other exercises in this chapter
Problem 35
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List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. $$\
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