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3 years ago

Factor please. m^2 - 64n^2

Mathematics

2 answers:

Monica [59]3 years ago

7 0

Answer:

(m - 8n)(m + 8n)

Step-by-step explanation:

m² - 64n² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

m² - 64n²

= m² - (8n)²

= (m - 8n)(m + 8n)

rewona [7]3 years ago

5 0

Answer:

(n - 8n)(m+8n)

Step-by-step explanation:

x² - y² = (x - y)(x + y)

In this situation, the "x" = m and the "y" = 8n

So,

m² - 64n² = (n - 8n)(m+8n)

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What are the solutions of x² + 6x - 16 = 0?

AveGali [126]

Step-by-step explanation:

$x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}}{2\cdot \:1}\\\sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}\\\sqrt{6^2+64}\\\sqrt{36+64}\\\sqrt{100}\\\sqrt{10^2}\\=10\\x_1=\frac{-6+10}{2\cdot \:1},\:x_2=\frac{-6-10}{2\cdot \:1}\\\\\bold{x_1:2}\\\frac{-6+10}{2\cdot \:1}\\\frac{4}{2\cdot \:1}\\\frac{4}{2}\\=2\\\\\bold{x_2:-8}\\\frac{-6-10}{2\cdot \:1}\\\frac{-16}{2\cdot \:1}\\\frac{-16}{2}\\-\frac{16}{2}\\=-8$

Answer:

x₁ = 2

x₂ = -8

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1 year ago

A pizza is cut into 6 equal pieces. After Eli and Dan eat

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3 years ago

Which expression is equivalent to: ^3✓- 64x^7y^12

den301095 [7]

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3 years ago

Solve each radical equation. Be sure to check your solutionsa)√(x+5)-9=-12b)√(4x-7)=√(3x+9)

Arlecino [84]

Answer:

a) There is no solution to the equation.

b) Solution: x = 16

Step-by-step explanation:

Hi there!

a) Let´s write the equation:

√(x + 5) - 9 = -12

add 9 to both sides of the equation

√(x + 5) = -12 + 9

√(x + 5) = -3

Square both sides of the equation

x + 5 = 9

Subtract 5 to both sides

x = 9 - 5

x = 4

Let´s check the solution:

√(x + 5) - 9 = -12

√(4 + 5) - 9 = -12

√9 - 9 = -12

3 - 9 = -12

-6 ≠ -12

Then x = 4 is not a solution to the equation.

b) Let´s write the equation:

√(4x - 7) = √(3x + 9)

square both sides of the equation

4x - 7 = 3x + 9

subtract 3x and add 7 to both sides of the equation

4x - 3x = 9 + 7

x = 16

Let´s check the solution:

√(4x - 7) = √(3x + 9)

x = 16

√(4(16) - 7) = √(3(16) + 9)

√57 = √57

Then x = 16 is the solution to the equation

5 0

4 years ago

Rewrite the expression in the form k x y^n

Ostrovityanka [42]

Answer:

$4*y^{1/7}$

Step-by-step explanation:

Given

$\frac{8y^{2} }{2\sqrt[4]{y} }$

it can be written as we

= $\frac{8y^{2} }{2*y^{1/4} }$

= $\frac{4y^{2} }{y^{1/4} }$

= $4y^{2-1/4}$

= $4y^{1/7}$

Therefore the given solution is in the form of k * y^n

5 0

3 years ago