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postnew [5]
3 years ago
13

Factorize xsquare-25​

Mathematics
2 answers:
MatroZZZ [7]3 years ago
6 0

Answer:

The answer is (x + 5)(x - 5).

Step-by-step explanation:

Assuming that 25 is a perfect square so you can apply :

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

Test :

(x+5)(x-5) = {x}^{2} - 5x + 5x - 25

(x+5)(x-5) = {x}^{2} - 25

erastovalidia [21]3 years ago
3 0

Answer:

\boxed{(x-5)(x+5)}

Step-by-step explanation:

x² - 25

Factor out square.

(x)² - (5)²

Apply difference of two squares formula.

a² - b² = (a-b)(a+b)

a = x

b = 5

x² - 25 = (x-5)(x+5)

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5x-3x(26x-7x-28x) systems of equation
labwork [276]

Simplifying
5x + 2(8x + -9) = 3(x + 4) + -5(2x + 7)

Reorder the terms:
5x + 2(-9 + 8x) = 3(x + 4) + -5(2x + 7)
5x + (-9 * 2 + 8x * 2) = 3(x + 4) + -5(2x + 7)
5x + (-18 + 16x) = 3(x + 4) + -5(2x + 7)

Reorder the terms:
-18 + 5x + 16x = 3(x + 4) + -5(2x + 7)

Combine like terms: 5x + 16x = 21x
-18 + 21x = 3(x + 4) + -5(2x + 7)

Reorder the terms:
-18 + 21x = 3(4 + x) + -5(2x + 7)
-18 + 21x = (4 * 3 + x * 3) + -5(2x + 7)
-18 + 21x = (12 + 3x) + -5(2x + 7)

Reorder the terms:
-18 + 21x = 12 + 3x + -5(7 + 2x)
-18 + 21x = 12 + 3x + (7 * -5 + 2x * -5)
-18 + 21x = 12 + 3x + (-35 + -10x)

Reorder the terms:
-18 + 21x = 12 + -35 + 3x + -10x

Combine like terms: 12 + -35 = -23
-18 + 21x = -23 + 3x + -10x

Combine like terms: 3x + -10x = -7x
-18 + 21x = -23 + -7x

Solving
-18 + 21x = -23 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
-18 + 21x + 7x = -23 + -7x + 7x

Combine like terms: 21x + 7x = 28x
-18 + 28x = -23 + -7x + 7x

Combine like terms: -7x + 7x = 0
-18 + 28x = -23 + 0
-18 + 28x = -23

Add '18' to each side of the equation.
-18 + 18 + 28x = -23 + 18

Combine like terms: -18 + 18 = 0
0 + 28x = -23 + 18
28x = -23 + 18

Combine like terms: -23 + 18 = -5
28x = -5

Divide each side by '28'.
x = -0.1785714286

Simplifying
x = -0.1785714286
3 0
3 years ago
Is the square root of 1/9 rational or irrational
lyudmila [28]

The square root of 1/9 is 1/3 and it is a Rational Number.

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Read 2 more answers
V = lwh/3 (solve for h)
victus00 [196]

Answer:

\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle V = \frac{lwh}{3}<em />

<em />

<u>Step 2: Solve for </u><em><u>h</u></em>

  1. [Multiplication Property of Equality] Multiply 3 on both sides:                     \displaystyle V = \frac{lwh}{3} \rightarro 3V = lwh
  2. [Division Property of Equality] Divide lw on both sides:                               \displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}
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