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ad-work [718]
3 years ago
10

Part A: Factor 5x2b^2 + 14xb^2 − 3b^2. Show your work. (4 points)

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0
A.
alright
we can factor out the b² from everybody

b²(5x²+14x-3)
use ac method
for ax²+bx+c
multiply ac, and remember te result
find what 2 numbers multiply to ac and add to get b
split b up into those 2 numbers
factor
it's confusing so see example below
so

b²(5x²+14x-3)
5 times -3=-15
what 2 numbers multiply to get -15 and add to get 14?
15 and -1
b²(5x+15x-1x-3)
group
b²((5x²+15x)+(-1x-3))
b²(5x(x+3)-1(x+3))
factor
b²(5x-1)(x+3)



B.
what 2 numbers multiply to get 81 and add to get -18?
-9 and -9
(x-9)(x-9) or
(x-9)²

C.
diff of 2 perfect squares
remember a²-b²=(a+b)(a-b)
so
x²-11²=(x+11)(x-11)
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erastovalidia [21]

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Step-by-step explanation:

Substituting the first equation into the second,

2b+2+b=41\\\\3b+2=41\\\\3b=39\\\\b=13\\\\\implies t=2(13)+2=29

3 0
1 year ago
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this is the answer
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Which decimal is equivalent to 25/6
nataly862011 [7]

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7 0
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JulsSmile [24]

Given:

\frac{3x}{4}

Find: values belong to the solution

Explanation:

\begin{gathered} \frac{3x}{4}

and

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so those values are solution which is x<12

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