All categories

2 years ago

Which is the LCM of (x + y) and (x + y)2.

Mathematics

1 answer:

Semmy [17]2 years ago

8 0

Answer:

(x+y)²

Step-by-step explanation:

Given the expressions (x + y) and (x + y)².

We are to find the LCM of (x + y) and (x + y)²

Taking the factors as shown

(x+y ) || (x + y) (x + y)²

(x+y ) || 1 (x+y)

|| 1 1

Multiplying both factors to get the LCM

= (x+y)(x+y)

= (x+y)²

Hence the LCM of (x + y) and (x + y)² is (x+y)²

You might be interested in

Which expressions are equivalent to -f-5(2f-3)

gizmo_the_mogwai [7]

Answer:

-11f +15

Step-by-step explanation:

-f-5(2f-3)

Distribute

-f -10f +15

Combine like terms

-11f +15

3 0

3 years ago

Read 2 more answers

What is it −4(3/2x−12)=−15

Greeley [361]

Answer:

x = 21/2

Step-by-step explanation:

Step 1: Write equation

-4(3/2x - 12) = -15

Step 2: Solve for x

Distribute -4: -6x + 48 = -15
Subtract 48 on both sides: -6x = -63
Divide both sides by -6: x = 21/2

3 0

3 years ago

Use the image below and find the missing angles

Colt1911 [192]

Step-by-step explanation:

w = 34° (alternate interior angles)

x = 34° (vertically opposite angles)

y = 101°

z = 79° (corresponding angles)

7 0

3 years ago

In the figure, m ǁ n, and s is a transversal that crosses the parallel lines.

Evgesh-ka [11]

The answer is angle 4 and angle 6 so B is correct.

3 0

2 years ago

Without using a calculator, order the following expressions from least to greatest.

LekaFEV [45]

Answer:

$\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}$

Step-by-step explanation:

( 1 ) 11/3

$\displaystyle \large{\frac{11}{3}}$ can be converted to mixed fractions to $\displaystyle \large{3\frac{2}{3}}$

Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

$\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}$

We know that $\displaystyle \large{\sqrt{4}=2}$ so $\displaystyle \large{\sqrt{5} > \sqrt{4}}$ which means approximately, $\displaystyle \large{\sqrt{20}}$ can be either at least 4.3 up to 4.4

( 3 ) √17

We know that $\displaystyle \large{\sqrt{16} = 4}$ so $\displaystyle \large{\sqrt{17}}$ can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since $\displaystyle \large{\sqrt{a} > \sqrt{b}}$ for a > b

Hence, from least to greatest:

$\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}$

4 0

1 year ago

Which is the LCM of (x + y) and (x + y)2.​

Which is the LCM of (x + y) and (x + y)2.