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borishaifa [10]
2 years ago
13

Factor the polynomial

Mathematics
2 answers:
Anettt [7]2 years ago
8 0

Answer:

(3x + 5)(9x^2 - 15x + 25)

Step-by-step explanation:

27x^3 + 125

= (3x)^3 + 5^3

= (3x + 5) ((3x)^2 - (3x)(5) + 5^2)

= (3x + 5)(9x^2 - 15x + 25)

FYI: a³ + b³ = (a + b)(a² – ab + b²)

nevsk [136]2 years ago
4 0

Answer:

<u>(3x + 5)(9x² - 15x + 25)</u>

Step-by-step explanation:

This is given in the form : a³ + b³

Identity :

  • a³ + b³ = (a + b)(a² - ab + b²)

Solving :

  • 27x³ + 125
  • (3x)³ + (5)³
  • <u>(3x + 5)(9x² - 15x + 25)</u>
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Are the triangles similar?
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3 years ago
What expression is equivalent to
kaheart [24]

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Option (2)

Step-by-step explanation:

Given expression is \sqrt[3]{64a^6b^7c^9}

By simplifying this expression,

\sqrt[3]{64a^6b^7c^9}=\sqrt[3]{(4)^3(a^2)^3(b^2)^3(b)(c^3)^3}

                 =(4a^2b^2c^3)\sqrt[3]{b}

Option (1)

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Option (2)

4a^2b^2c^3(\sqrt[3]{b}) [Fully simplified form]

Option (3)

8a^3b^3c^4(\sqrt[3]{bc} ) [Fully simplified form]

Option (4)

8a^2b^2c^3(\sqrt[3]{b})

Expression given in Option (2) is equivalent to the given expression.

Option (2) will be the answer.

3 0
3 years ago
Can someone help me with this question please and thank you
LenaWriter [7]

Answer:

The complete table will be:

x        y

1        5

0.8    4

0.4    2

Step-by-step explanation:

Given rule is:

y = 5x

In the given rule, x is multiplied by 5 to get the values of y. The same rule can be manipulated to find the value of x in terms of y.

\frac{y}{5} = \frac{5x}{5}\\x = \frac{y}{5}

Putting y = 5

x = \frac{y}{5}\\x = \frac{5}{5}\\x = 1

Putting y = 4

x = \frac{y}{5}\\x = \frac{4}{5}\\x = 0.8

Putting y = 2

x = \frac{2}{5}\\x = 0.4

Hence,

The complete table will be:

x        y

1        5

0.8    4

0.4    2

3 0
3 years ago
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