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3 years ago

Please help with this (#25)!! my book doesn’t tell me

Mathematics

2 answers:

noname [10]3 years ago

7 0

I'm not real sure if this is right but I did my best

Lady bird [3.3K]3 years ago

6 0

$2^{6}$

Step-by-step explanation:

3+2+1+1=7-1

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Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

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,

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

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,

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

We factor to get,

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

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

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

We finally simplify to get,

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

5 0

3 years ago

Read 2 more answers

The product of two numbers that are less than zero is also less than zero. True False asap

tresset_1 [31]

False.
Multiplying two negatives gives a positive.

6 0

4 years ago

Read 2 more answers

What error did Lucia make?

Veronika [31]

Answer:

See below

Step-by-step explanation:

She combined 3x and - 9x incorrectly

she should have gotten - 6 x not - 12 x

8 0

2 years ago

The net of a prism is shown on the coordinate plane. What is the surface area of the prism?

nata0808 [166]

Answer:

Option C. 10 square inch

Step-by-step explanation:

Net of a prism is shown on the coordinate plane. We have to calculate the surface area of the prism.

To calculate the surface area of the net we will calculate the area of the four large rectangles and two squares given in the picture.

Total surface area of the net = 2× small squares + 4×large rectangles

= 2×(1×1) + 4×(1×2) = 2 + 8 = 10 square inch.

Therefore option C. 10 square inch is the answer.

6 0

3 years ago

Which expression is equivalent to -3 (2m - 1) - n?

Semenov [28]

Answer:

−6−m+3

Explanation

-3 (2m - 1) - n?

Distribute

−3(2−1)−

−6+3−

Rearange

−6+3−

−6−m+3

7 0

3 years ago