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3 years ago

Simplify 9p² + 12pq + 4q²

Mathematics

1 answer:

ladessa [460]3 years ago

6 0

Answer:

4 • (3p - 4q) • (p^2 + 3pq + 4q^2)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "q2" was replaced by "q^2". 1 more similar replacement(s).

(3p - 4q) • (((4 • (p^2)) + 12pq) + 2^4.q^2)

(3p - 4q) • ((2^2p^2 + 12pq) + 2^4.q^2)

Pull out like factors :

4p^2 + 12pq + 16q^2 = 4 • (p^2 + 3pq + 4q^2)

Factoring p2 + 3pq + 4q2

Try to factor this multi-variable trinomial using trial and error

Finally we get.

4 • (3p - 4q) • (p^2 + 3pq + 4q^2)

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Planet X is 8 1/5 light-years away from Earth. Planet Y is 2 3/5 light-years away from Earth.

Law Incorporation [45]

Based on the distance of Planet X from Earth and the distance of Planet Y, Planet X is 5 ³/₅ light-years farther away.

<h3>How much farther is Planet X from Earth?</h3>

To find how out how much farther planet X is from Planet Earth than Planet Y, subtract the distances:

Solving gives:

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1 year ago

An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression so the GCF is factored completely.

Tomtit [17]

Given:

The expression is:

$3pf^2-21p^2f+6pf-42p^2$

To find:

The factored form of the given expression by taking out the GCF.

Solution:

We have,

$3pf^2-21p^2f+6pf-42p^2$

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Taking out the GCF from the given expression, we get

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3 years ago

What is the range of y = sin θ ?

seraphim [82]

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3 years ago

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slega [8]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Of the Students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of th

soldier1979 [14.2K]

Answer:

$\frac{9}{20}$ students.

Step-by-step explanation:

We have been given that of the students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students are also involved in the drama club.

To find the students are both play a sport and a part of the drama club, we need to find 3/5 part of 6/8 as:

$\text{Students who play a sport and a part of the drama club}=\frac{6}{8}\times \frac{3}{5}$

$\text{Students who play a sport and a part of the drama club}=\frac{3}{4}\times \frac{3}{5}$

$\text{Students who play a sport and a part of the drama club}=\frac{3\times 3}{4\times 5}$

$\text{Students who play a sport and a part of the drama club}=\frac{9}{20}$

Therefore, $\frac{9}{20}$ students play sport and part of the drama club.

5 0

3 years ago

Simplify 9p² + 12pq + 4q²​

Simplify 9p² + 12pq + 4q²