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azamat
4 years ago
5

Factor completely 169x2 − 64.

Mathematics
2 answers:
Debora [2.8K]4 years ago
7 0

Answer: (13x+8)(13x-8) is the answer

horsena [70]4 years ago
7 0

Answer:

(13x - 8)(13x + 8)

Step-by-step explanation:

169x² - 64 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

169x² - 64

= (13x)² - 8²

= (13x - 8)(13x + 8)

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Answer:

The answer is below

Step-by-step explanation:

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\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\  \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg

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