Associative Property Communtative Property Identity property Inverse property

I will mark brainlist if correct !!

dezoksy [38]

Answer:

Yes youre answer is correct

Step-by-step explanation:

4 0

3 years ago

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(x+y)^2 (x2+2xy+y2) pleas show all work

lakkis [162]

Answer:

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

4

+4x

3

y+6x

2

y

2

+4xy

3

+y

4

Step-by-step explanation:

1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)

2

=a

2

+2ab+b

2

.

({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x

2

+2xy+y

2

)(x

2

+2xy+y

2

)

2 Expand by distributing sum groups.

{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

2

(x

2

+2xy+y

2

)+2xy(x

2

+2xy+y

2

)+y

2

(x

2

+2xy+y

2

)

3 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

4

+2x

3

y+x

2

y

2

+2xy(x

2

+2xy+y

2

)+y

2

(x

2

+2xy+y

2

)

4 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x

4

+2x

3

y+x

2

y

2

+2x

3

y+4x

2

y

2

+2xy

3

+y

2

(x

2

+2xy+y

2

)

5 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x

4

+2x

3

y+x

2

y

2

+2x

3

y+4x

2

y

2

+2xy

3

+y

2

x

2

+2y

3

x+y

4

6 Collect like terms.

{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x

4

+(2x

3

y+2x

3

y)+(x

2

y

2

+4x

2

y

2

+x

2

y

2

)+(2xy

3

+2xy

3

)+y

4

7 Simplify.

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

4

+4x

3

y+6x

2

y

2

+4xy

3

+y

4

7 0

3 years ago

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1.) what is the length of the diagonal for the given rectangular prism to the nearest whole unit?

N76 [4]

The answer is D.10 at least

3 0

2 years ago

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

Verify each statement

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

so

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

3 years ago

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Explain why 2/3 x 12 can be written as 2 x 12 divided by 3.

Inga [223]

Answer and Step-by-step explanation:

$\frac{2}{3}$ × 12 can also be written as $\frac{2 * 12 }{3}$ because the 12 is multiplying the numerator of the fraction.

12 can also be written as $\frac{12}{1}$ .

When we solve, this is what is happening:

$\frac{2}{3}$ × $\frac{12}{1}$

The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.

#teamtrees #PAW (Plant And Water)

3 0

3 years ago

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