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amm1812
3 years ago
5

Simplify. Show your work. (2√(5)+3√(7))^2

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

The answer is: 83 + 12√35

(a + b)² = a² + 2ab + b²

In (2√5 + 3√7)², a = 2√5, b = 3√7

Just substitute a and b:

(a + b)² = a² + 2ab + b² = (2√5)² + 2 * 2√5 * 3√7 + (3√7)² = 

           = 2²√5² + 2 * 2 * 3 * √5 * √7 + 3²√7² =

           = 4 * 5 + 12 * √(5*7) + 9 * 7 =

           = 20 + 12 *√35 + 63 =

           = 83 + 12√35

Step-by-step explanation:

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5 0
4 years ago
Solve the equation 6x + 2x - 5= 19 x=? Simplify your answer
SSSSS [86.1K]

Answer:

x = 3

Step-by-step explanation:

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7 0
3 years ago
Which number can each term of the equation be multiplied by to eliminate the fractions before solving ? -3/4 m-1/2=2+1/4mA 2B 3C
bixtya [17]

The correct answer is C. 4.

Typically, we look to multiply by the bottom number (the denominator) in order to get fractions to cancel out. If we multiply 1/6 by 6, we get just 1, which is why we do it.

In this problem, you have two different denominators, 2 and 4. If you multiply them all by 2, the term -3/4m will still be a fraction.

-3/4m * 2 = -3/2m

As a result, we must try 4 instead. This causes all of them to cease being a fraction. Even the one with 2 as a denominator.

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7 0
3 years ago
Read 2 more answers
What is the value of x?<br> 11 (9 - 2x) = -(12x + 11)
fenix001 [56]
The value of x = 11.


Explanation: 99-22x=- 12x - 11


Collect like terms: -22x + 12x = -11 - 99



Divide both sides: -10x = -110 by -10
3 0
3 years ago
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