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kipiarov [429]
3 years ago
11

Factor this polynomial expression. x^2-16

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Hi,

We know that:

a² -- b² = (a -- b)(a + b).

With a = x, and b = 4, we have:

x² -- 16 = x² -- 4² = (x -- 4)(x + 4).

As simple as that. Have you understood ?

Green eyes.

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

13x - 6y = 22

x = y + 6

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

<em>Substitution</em>

  1. Substitute in <em>x</em>:                              13(y + 6) - 6y = 22
  2. Distribute 13:                                 13y + 78 - 6y = 22
  3. Combine like terms:                      7y + 78 = 22
  4. Isolate <em>y</em> term:                                7y = -56
  5. Isolate <em>y</em>:                                         y = -8

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                    x = y + 6
  2. Substitute in <em>y</em>:                                     x = -8 + 6
  3. Add:                                                      x = -2
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3 years ago
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