Compute the value of the algebraic expression 3p^2 - 2pq utilizing the parameters p = -3 a… — Armed Services Vocational Aptitude Battery (ASVAB)

Compute the value of the algebraic expression $3p^2 - 2pq$ utilizing the parameters $p = -3$ and $q = 5$ .

The correct answer accurately substitutes the negative and positive integers into the formula and follows PEMDAS. Squaring

-3

yields

9

, which is multiplied by

3

to give

27

. The second term involves multiplying

2

-3

, and

5

to yield

-30

. Subtracting

-30

from

27

is equivalent to

27 + 30

, which totals

57

Substitute the assigned values for p and q into the expression.

3(-3)^2 - 2(-3)(5)

Variable substitution requires replacing every instance of a letter with its numerical value.

Evaluate the exponent according to the order of operations.

3(9) - 2(-3)(5)

Exponents must be calculated before multiplication. A negative number squared becomes positive.

Perform the multiplications for both terms.

27 - (-30)

Multiply

3 \times 9

to get 27, and multiply

2 \times (-3) \times 5

to get

-30

Subtract the second term from the first term.

Subtracting a negative number is the same as adding its positive equivalent (

27 + 30 = 57

Evaluating Algebraic Expressions

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