QuestionFind the value of $a^{3}-b^{2}$ for $a=-7$ and $b=-3$ . Options: A. -334 B. -12 C. -352 D. -30

Studdy Solution

STEP 1

Assumptions1. The value of $a$ is -7. The value of $b$ is -33. The expression we are evaluating is $a^{3}-b^{}$

STEP 2

First, we need to substitute the given values of $a$ and $b$ into the expression.
$a^{}-b^{2} = (-7)^{}-(-)^{2}$

STEP 3

Now, calculate the value of $(-7)^{3}$ and $(-3)^{2}$ .
$(-7)^{3} = -7 \times -7 \times -7 = -343$ $(-3)^{2} = -3 \times -3 =9$

STEP 4

Substitute these values back into the expression.
$a^{3}-b^{2} = -343 -9$

STEP 5

Finally, calculate the value of the expression.
$a^{3}-b^{2} = -343 -9 = -352$ So, the value of the expression $a^{3}-b^{2}$ when $a=-7$ and $b=-3$ is -352.

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QuestionFind the value of $a^{3}-b^{2}$ for $a=-7$ and $b=-3$ . Options: A. -334 B. -12 C. -352 D. -30

Studdy Solution

STEP 1

Assumptions1. The value of $a$ is -7. The value of $b$ is -33. The expression we are evaluating is $a^{3}-b^{}$

STEP 2

First, we need to substitute the given values of $a$ and $b$ into the expression.
$a^{}-b^{2} = (-7)^{}-(-)^{2}$

STEP 3

Now, calculate the value of $(-7)^{3}$ and $(-3)^{2}$ .
$(-7)^{3} = -7 \times -7 \times -7 = -343$ $(-3)^{2} = -3 \times -3 =9$

STEP 4

Substitute these values back into the expression.
$a^{3}-b^{2} = -343 -9$

STEP 5

Finally, calculate the value of the expression.
$a^{3}-b^{2} = -343 -9 = -352$ So, the value of the expression $a^{3}-b^{2}$ when $a=-7$ and $b=-3$ is -352.

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QuestionFind the value of a3−b2a^{3}-b^{2}a3−b2 for a=−7a=-7a=−7 and b=−3b=-3b=−3. Options: A. -334 B. -12 C. -352 D. -30

Studdy Solution

STEP 1

Assumptions1. The value of aaa is -7. The value of bbb is -33. The expression we are evaluating is a3−ba^{3}-b^{}a3−b

STEP 2

First, we need to substitute the given values of aaa and bbb into the expression.a−b2=(−7)−(−)2a^{}-b^{2} = (-7)^{}-(-)^{2}a−b2=(−7)−(−)2

STEP 3

Now, calculate the value of (−7)3(-7)^{3}(−7)3 and (−3)2(-3)^{2}(−3)2.(−7)3=−7×−7×−7=−343(-7)^{3} = -7 \times -7 \times -7 = -343(−7)3=−7×−7×−7=−343(−3)2=−3×−3=9(-3)^{2} = -3 \times -3 =9(−3)2=−3×−3=9

STEP 4

Substitute these values back into the expression.a3−b2=−343−9a^{3}-b^{2} = -343 -9a3−b2=−343−9

STEP 5

Finally, calculate the value of the expression.a3−b2=−343−9=−352a^{3}-b^{2} = -343 -9 = -352a3−b2=−343−9=−352So, the value of the expression a3−b2a^{3}-b^{2}a3−b2 when a=−7a=-7a=−7 and b=−3b=-3b=−3 is -352.

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QuestionFind the value of $a^{3}-b^{2}$ for $a=-7$ and $b=-3$ . Options: A. -334 B. -12 C. -352 D. -30

Assumptions1. The value of $a$ is -7. The value of $b$ is -33. The expression we are evaluating is $a^{3}-b^{}$

First, we need to substitute the given values of $a$ and $b$ into the expression.
$a^{}-b^{2} = (-7)^{}-(-)^{2}$

Now, calculate the value of $(-7)^{3}$ and $(-3)^{2}$ .
$(-7)^{3} = -7 \times -7 \times -7 = -343$ $(-3)^{2} = -3 \times -3 =9$

Substitute these values back into the expression.
$a^{3}-b^{2} = -343 -9$

Finally, calculate the value of the expression.
$a^{3}-b^{2} = -343 -9 = -352$ So, the value of the expression $a^{3}-b^{2}$ when $a=-7$ and $b=-3$ is -352.