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3 years ago

Simplify: 32 + (-3 + 2) x 6. To simplify, you first evaluate the exponents

Mathematics

1 answer:

MakcuM [25]3 years ago

4 0

Answer:

Step-by-step explanation:

32 + (-3 + 2) x 6

Parentheses first

32 + (-1) x 6

Multiply and divide

32-6

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Factorise 3x^3 - 12xy^2

igomit [66]

Answer:

we can conclude that:

$3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)$

Step-by-step explanation:

Given the expression

$3x^3-12xy^2$

Let us factorize the expression

$3x^3-12xy^2$

Apply the exponent rule: $a^{b+c}=a^ba^c$

$3x^3\:-\:12xy^2=3xx^2-12xy^2$

Rewrite 12 as 4 · 3

$=3xx^2-4\cdot \:3xy^2$

Factor out the common term 3x

$=3x\left(x^2-4y^2\right)$

$\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$

$=3x\left(x+2y\right)\left(x-2y\right)$

Therefore, we can conclude that:

$3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)$

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3 years ago

What are the three undefined terms in geometry

Colt1911 [192]

Point, line and plane

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3 years ago

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Solve the equation 7b-27=8(6+4b)

Snowcat [4.5K]

Answer:

b = -3

Step-by-step explanation:

7b-27=8(6+4b)

Distribute

7b -27 = 48 + 32b

Subtract 7b from each side

7b-7b-27=48+32b-7b

-27 = 48+25b

Subtract 48 from each side

-27-48 = 48+25b -47

-75 = 25b

Divide each side by 25

-75/-25 =25b/25

-3 =b

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3 years ago

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Las medidas interiores de una piscina portátil cilíndrica son 0.85 m de radio y 0.60 m de altura.

AURORKA [14]

Answer:

es ovio

Step-by-step explanation:

investiga xd xd xd

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3 years ago

The annual health insurance premium for Ms. Everett is $12,304 her employer says 70% of the premium and deducts the remainder fr

Mazyrski [523]

Ms. Everett will be responsible for paying 30% of her annual premium of $12,304. (12,304 X .30)

Her portion will be $3,691.20

If you spread that out over 12 months (3,691.20/12) it comes out to $307.60

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3 years ago