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3 years ago

Resolve into factors. px + qx + py + qy (algebra).

Mathematics

2 answers:

mamaluj [8]3 years ago

6 0

Answer:

(p+q)(x+y)

HOPE IT HELPS YOU.....

amm18123 years ago

5 0

Step-by-step explanation:

we want to factor the following expression

$\displaystyle px + qx + py + qy$

to do so group px's and qy's

$\displaystyle px + py + qx + qy$

factor out p:

$\displaystyle p(x + y ) + qx + qy$

factor out "q":

$\displaystyle p(x + y ) + q(x + y)$

group:

$\boxed{ \displaystyle( p+ q)(x + y)}$

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6 0

1 year ago

If 2X = 4096, find value of x.

Scorpion4ik [409]

Answer:

transpose 2 towards 4096

Step-by-step explanation:

2048 Answer

4 0

3 years ago

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago

3) The sum of three consecutive numbers is 72.<br> What are the smallest of these numbers?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

x+x+1=x+2=72

3x+3=72

3x=69

x=23

23+24+25=72

7 0

4 years ago

Simplify |65.45-42.45|-(30.40+45.83)

alisha [4.7K]

Answer:

−

53.23

Step-by-step explanation:

5 0

3 years ago

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Resolve into factors. px + qx + py + qy (algebra). ​

Resolve into factors. px + qx + py + qy (algebra).