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3 years ago

Factorize (X + 2 y)square - (2 x minus y) square

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)

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hodyreva [135]

Răspuns:

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Explicație pas cu pas:

Permiteți numărul inițial de fotografii = x

x - 50% din x = x - 0,5x = 0,5x

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Prin urmare,

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algol13

<h3>Answer:</h3>

$\large\boxed{-1\frac{16}{25},\,\frac{6}{40},\,0.35,\,1\frac{3}{4}}$

<h3>Step-by-step explanation:</h3>

In this question, it's asking you to put the numbers that were given from <em>least </em>to <em>greatest.</em>

Our given numbers are:

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Now, lets sort them out.

We know that negative numbers would be the least. Sicne there's only one negative number, we would put that first because it's the least out of the numbers.

$\frac{6}{40}$ would go next. To make it easier, we can turn it into a decimal. $\frac{6}{40} = 0.15$ when you divide.

0.35 will go next. This would be bigger than 0.15, but lower than the next number.

$1\frac{3}{4}$ would go last, due to the fact that it's the greatest. $1\frac{3}{4}$ is the same as 1.75

When you put them in order, you should get $-1\frac{16}{25},\,\frac{6}{40},\,0.35,\,1\frac{3}{4}$

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

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2 years ago

Factorize (X + 2 y)square - (2 x minus y) square​

Factorize (X + 2 y)square - (2 x minus y) square