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Lyrx [107]
3 years ago
13

Will mark brainliest if right and you show your work...

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
7 0

12x^3-8x+4x-6x^2+4-2

Simplify

= 12x^3-6x^2-4x+2

Ratling [72]3 years ago
3 0
<h2>12x^3 - 14x^2 + 8x - 2 = 2(6x^3 - 7x^2 + 4x - 1)</h2>

(4x-2) (3x^2-2x+1)

Multiply the first term from the first bracket by every term in the second bracket:

4x* 3x^2 = 12x^3

4x * -2x = -8x^2

4x * 1 = 4x

Multiply the second term from the first bracket by every term in the second bracket:

-2 * 3^2 = -6x^2

-2 * -2x = 4x

-2 * 1 = -2

Add the results together:

12x^3 + -8x^2 + 4x + -6x^2 + 4x + -2

12x^3 - 8x^2 + 4x - 6x^2 + 4x - 2

12x^3 - 8x^2  - 6x^2 + 4x + 4x - 2

<h2>12x^3 - 14x^2 + 8x - 2</h2>

Find a common factor to simplify:

Common Factor = 2

Divide everything by 2.

<h2>2(6x^3 - 7x^2 + 4x - 1)</h2>

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Salsk061 [2.6K]

Answer:

see explanation

Step-by-step explanation:

All of these questions use the external angle theorem, that is

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Step-by-step explanation:

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Given that f(x) = x2 – 14x + 45 and g(x) = 2 – 9, find f(x) – g(x) and
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\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ log_a(xy)\implies log_a(x)+log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of rationals} \\\\ log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \log_{12}\left( \cfrac{~~\frac{1}{2}~~}{8w} \right)\implies \begin{array}{llll} \log_{12}\left( \frac{1}{2} \right)&-&\log_{12}(8w)\\\\ \log_{12}(1)-\log_{12}(2)&-&[\log_{12}(8)+\log_{12}(w)] \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \log_{12}(1)-\log_{12}(2)-\log_{12}(8)-\log_{12}(w)~\hfill

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