Problem 36
Question
Find each product. $$(4-3 x)(4+3 x)$$
Step-by-Step Solution
Verified Answer
The product of binomials \( (4-3 x)(4+3 x) \) is \( 16 - 9x^2 \)
1Step 1: Distribute
Start by multiplying each term in the first binomial by each term in the second binomial. This gives us \( 4 * 4 + 4 * 3x - 3x * 4 - 3x * 3x \) .
2Step 2: Simplify
Next, simplify the result by performing the multiplication operations: \( 16 + 12x - 12x - 9x^2 \) .
3Step 3: Simplify further
The term \( + 12x \) and \( - 12x \) cancel out, rendering the equation to \( 16 - 9x^2 \) .
Other exercises in this chapter
Problem 35
List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, i. real numbers. \(\
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Add or subtract terms whenever possible. $$4 \sqrt{13 x}-6 \sqrt{13 x}$$
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Factor each trinomial, or state that the trinomial is prime. $$ 3 x^{2}+4 x y+y^{2} $$
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Add or subtract as indicated. $$\frac{x^{2}-4 x}{x^{2}-x-6}+\frac{4 x-4}{x^{2}-x-6}$$
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