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4 years ago

What is the value of this expression when a = 2 and b = -3?

Mathematics

1 answer:

Serhud [2]4 years ago

5 0

Answer:

Step-by-step explanation:

(a^3 - b^3) / 5

Let a=2 and b = -3

Do the exponents inside the parentheses

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

Then add

(8 - (-27))/5

Subtracting a negative is like adding

(8+27)/5

( 35)/5

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4-(-3) as an addition problem and find the difference.

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$\huge\text{Hey there!}$

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$\bullet \huge\textsf{ Negative (-) \& negative (-) = positive (+)}$

$\bullet \huge\textsf{ Positive (+) \& negative (-) = negative (-)}$

$\bullet\huge\textsf{ Positive (+) \& positive (+) = positive (+)}$

$\bullet\huge\textsf{ Negative (-) \& positive (+) = negative (-)}$

$\huge\boxed{\frak{Guide\ \#2}\downarrow}$

$\bullet \huge\textsf{ Positives are on the RIGHT side of the}\\\huge\textsf{ number line}$

$\bullet\huge\textsf{ Negatives are on the LEFT side of the}\\\huge\textsf{ number line}$

$\huge\boxed{\bf Guide\ \#3\downarrow}}$

$\bullet\huge\textsf{ Positives are ABOVE 0}$

$\bullet\huge\textsf{ Negatives are BELOW 0}$

$\huge\boxed{Answering \ your \ question: }$

$\huge\boxed{\mathsf{4 - (-3)}}$

$\huge\boxed{\mathsf{= 4 + 3}}$

$\star \large\textsf{ You start at 4 and go up 3 spaces to the right because we are dealing with } \\\textsf{positive numbers on both right and left side }\star$ $\huge\boxed{\mathsf{= 4 + 3}}$

$\huge\boxed{\mathsf{= 7}}$

$\huge\boxed{\frak{\bold{Therefore, \ your \ \underline{\underline{answer \ is: \boxed{\frak 7}}}}}}\huge\checkmark$

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