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3 years ago

Use the formula to factor n8 – 9

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Hi!

The correct answer is ( $n^{4}$ +3)( $n^{4}$ -3)

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Factor the trinomial. Factor out the GCF first.<br> 5x^2y - 30xy^2 - 35y^3

anzhelika [568]

Answer: $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

Step-by-step explanation:

GCF = Greatest common factor.

For example: 6 is the GCF of 12 and 18.

The given expression: $5x^2y - 30xy^2 - 35y^3$

It can be written as

$5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)$

Taking out common factor $5y$ , we get

$5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)$

Hence, $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

3 0

3 years ago

A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.

masya89 [10]

Answer:

one

Step-by-step explanation:

A unit rate compares a quantity to one unit of measure.

6 0

2 years ago

Solve for c

labwork [276]

Isolate the variable by dividing each side by factors that don't contain the variable I believe the correct answer is 1. c=ab-da

5 0

3 years ago

Read 2 more answers

Three to the power of negative two

Yanka [14]

Answer:

1/9

Step-by-step explanation:

3^-2 = 1/3^2

1/3^2 = 1/9

4 0

3 years ago

5. Adam drives his car with an average velocity of 85 km/h eastward. How long will it take him to drive

NISA [10]

Answer:

x = 6.59 hrs = about 6 hours, 35 minutes

Step-by-step explanation:

Adam drives at 85 km / h. Let's set up equivalent fractions to see how long if he drives 560 km.

$\frac{85 km}{1 hr} = \frac{560 km}{x hr}$

Cross-multiply:

85x = 560

Solve for x:

560/85 = x

<u>x = 6.59 hrs = about 6 hours, 35 minutes</u>

7 0

2 years ago