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3 years ago

Complete the following: (2x +5y)(2x − 5y)= - _

Mathematics

1 answer:

Kay [80]3 years ago

7 0

Answer:

(2x +5y)(2x − 5y) = ${4x^{2} - 25y^{2}$

Step-by-step explanation:

(2x +5y)(2x − 5y) is the given equation.

Now, the <u>ALGEBRAIC IDENTITY</u> states that:

$(a+ b)(a-b) = a^{2} - b^{2}$

Here, comparing a = 2x and b = 5y,

we get (2x +5y)(2x − 5y) = $(2x)^{2} - (5y)^{2}$

on further solving the right side, we get

(2x +5y)(2x − 5y) = ${4x^{2} - 25y^{2}$

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2 years ago

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Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. Ho

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Answer:

Total amount Omar earn = $120

Step-by-step explanation:

Given:

Total amount Omar, Hala and Lujain got paid = $240

Ratio of money Omar, Hala and Lujain got paid = 5:9:10

Find:

Total amount Omar earn

Computation:

Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]

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Total amount Omar earn = $120

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2 years ago

Three-quarters the product of two numbers x and y

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Answer:

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2 years ago

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2 years ago

An urn contains two black balls and three red balls. If two different balls are successively removed, what is the probability th

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You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.

Case 1: two black balls

The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.

The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)

So, the probability of picking two black balls is

$P(\text{two blacks}) = \dfrac{2}{5} \cdot \dfrac{1}{4} = \dfrac{2}{20} = \dfrac{1}{10}$

Case 2: two red balls

The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.

The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)

So, the probability of picking two red balls is

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Finally, the probability of picking two balls of the same colour is

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2 years ago

Complete the following: (2x +5y)(2x − 5y)= ____ - _____

Complete the following: (2x +5y)(2x − 5y)= - _