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2 years ago

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:

(3x + 5)(9x² - 15x + 25)

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
(3x + 5)(9x² - 15x + 25)

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3 years ago

Evaluate 3^2 + (5-2) X 4 - 6/3

muminat

Answer:

The result is 19

Step-by-step explanation:

$3^{2} + (5-2)x4 - 6/3$

Step 1: Parenthesizing (5-2)=3

$3^{2} + 3x4 - 6/3$

Step 2: Exponentiation $3^{2}=9$

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The operations are ordered from highest to lowest in the order:

1. Parenthesizing,

2. Factorial,

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4. Multiplication and division,

5. Addition and subtraction.

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3 years ago

Read 2 more answers

How to solve 4/7y-2 = 3/7 + 3/14

lisabon 2012 [21]

Solution

1) Simplify $\frac{4}{7y}$ to $\frac{4y}{7}$
$\frac{4y}{7}$ −2= $\frac{3}{7}$ + $\frac{3}{14}$

2) Simplify $\frac{3}{7}$ + $\frac{3}{14}$ to 914
 $\frac{4y}{7}$ −2= $\frac{9}{14}$

3) Add 2 to both sides
 $\frac{4y}{7}$ = $\frac{9}{14}$ +2

4) Simplify $\frac{9}{14
}$ +2 to $\frac{37}{14}$
$\frac{4y}{7}$ = $\frac{37}{14}$

5) Multiply both sides by 7
4y= $\frac{37}{14}$ ×7

6) Simplify $\frac{37}{14}$ ×7 to $\frac{259}{14}$
$\frac{4y}{7}$ = $\frac{259}{14}$

7) Simplify $\frac{259}{14}$ to $\frac{37}{2}$
$\frac{4y}{7}$ = $\frac{37}{2}$

8) Divide both sides by 4
y= $\frac{37}{2}$ ×4

9) Simplify 2×4 to 8
y= $\frac{37}{8}$

Hope this helps

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