What is the value of q^(2)-p^(2) for q=4 and p=2? A. 2 B. 4 C. 8 D. 12 E. 14

Identify formula: Step 1: Identify the formula to use for the problem. We need to find the value of $ q^2 - p^2 $. This is a difference of squares, which can be factored as $ (q + p)(q - p) $.Substitute values: Step 2: Substitute the given values into the formula. Given $ q = 4 $ and $ p = 2 $, substitute these values into the factored form: \[ (4 + 2)(4 - 2) \]Perform calculations: Step 3: Perform the calculations. Calculate the expressions inside the parentheses: \[ 6 \times 2 = 12 \]

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What is the value of
q^(2)-p^(2) for
q=4 and
p=2?
A. 2
B. 4
C. 8
D. 12
E. 14

What is the value of $q^{2}-p^{2}$ for $q=4$ and $p=2$ ? $\newline$ A. $2$ $\newline$ B. $4$ $\newline$ C. $8$ $\newline$ D. $12$ $\newline$ E. $14$

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Math Problems

Algebra 2

Multiply and divide rational expressions

Full solution

Q. What is the value of

q^{2}-p^{2}

for

q=4

and

p=2

\newline

2

\newline

4

\newline

8

\newline

12

\newline

14

Identify formula: Step $1$ : Identify the formula to use for the problem. $\newline$ We need to find the value of $q^2 - p^2$ . This is a difference of squares, which can be factored as $(q + p)(q - p)$ .
Substitute values: Step $2$ : Substitute the given values into the formula. $\newline$ Given $q = 4$ and $p = 2$ , substitute these values into the factored form: $\newline$ $(4 + 2)(4 - 2)$
Perform calculations: Step $3$ : Perform the calculations. $\newline$ Calculate the expressions inside the parentheses: $\newline$ $6 \times 2 = 12$