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1 year ago

PLEASE HELP ME!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Varvara68 [4.7K]1 year ago

5 0

Answer:

Step-by-step explanation:

These are functions, the number in the parentheses shows you what number you will replace x with

If f(x) = x + 3, then f(-1) is -1 + 3

So, -1 + 3 = 2. g(2) = 2(2) + 1 = 4 + 1 = 5

Hope this helps friend.

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ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

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Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

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We expand the bracket on the left hand side to get,

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We finally simplify to get,

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