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makkiz [27]
3 years ago
9

What is the following product ?

Mathematics
2 answers:
AfilCa [17]3 years ago
8 0

Answer:

The correct answer is option B). 7x² -12x√14 + 72

Step-by-step explanation:

I<u>dentity</u>

(a - b)² = a² - 2ab + b²

Find the product

It is given that ( x√7 - 3√8)(x√7 - 3√8)

(x√7 - 3√8)(x√7 - 3√8) =  (x√7 - 3√8)²

(x√7 - 3√8)² =  (x√7)² - 2*x√7*3√8 +(3√8)²

 = 7x² - 6x√56 + 72

 = 7x² - 6x*2√14 + 72

 = 7x² - 12x√14 + 72

Therefore the correct answer is option B).  7x² - 12x√14 + 72

Vlad [161]3 years ago
8 0

Answer:

Choice b is correct. 7x²-12x√14+72 is answer.

Step-by-step explanation:

We have given the expression.

We have to find the product of given expression.

For this, we use the following formula:

(a-b) = a²-2ab+b²

Rewrite the given expression in the form:

(x√7 - 3√8)(x√7 - 3√8) = (x√7 - 3√8)²

Using the above formula in this expression.

 (x√7 - 3√8)² = (x√7)²- 2(x√7)(3√8) + (3√8)²

 (x√7 - 3√8)² = 7x² - 6x√56 + 72

(x√7 - 3√8)² = 7x²-6x *2√14 +72

(x√7 - 3√8)² = 7x²-12x√14 +72

This is the product of given expression.

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3 years ago
Rationalize the denominator of the fraction: √5/√8 - √3
Lana71 [14]

Answer:

Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate  (√8 + √3).

Solution

√5 *  (√8 - √3) /  ( (√8 - √3) *  (√8 + √3)  )  

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) *  (√8 + √3)  )

√8 * √8 = 8

√8 * √3 = √24

- √3 * √8 = - √24

-√3 * √3 = - 3

Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.

What you are left with is 8 - 3 = 5

So the final answer is

√5 *  (√8 - √3)

=============

5

6 0
2 years ago
Without calculating the answer for 5 1/5 * 2/5 be larger or smaller than 5 1/5​
solniwko [45]

Answer:

Evidently, without the calculating 5 1/5 times 2/5 would be larger than 5 1/5 since you are already gonna multiply 2/5 and that would make it larger.

Hope this helps!

Branliest would be appreciated :DD

Step-by-step explanation:

4 0
3 years ago
Find the value of x
sveticcg [70]

Answer:

<h2>          x = 15</h2>

Step-by-step explanation:

RQ < PR < PQ

TV < UV < UT

ΔPQR~ΔUTV   ⇒     \dfrac{RQ}{TV}=\dfrac{PR}{UV}

\dfrac{8}{x-3}=\dfrac{14}{x+6}\\\\8(x+6)=14(x-3)\\\\8x+48=14x-42\\\\48+42=14x-8x\\\\90=6x\\\\x=90:6=15

6 0
2 years ago
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