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Mice21 [21]
3 years ago
8

Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.

Mathematics
1 answer:
docker41 [41]3 years ago
7 0
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4

replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)

answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>

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egoroff_w [7]
<h2>Explanation:</h2><h2></h2>

Here you haven't provided any function, so I'll assume this one:

f(x)=3x^2-18x+33

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

V(x,y) \\ \\ \\ x=-\frac{b}{2a} \\ \\ y=f(-\frac{b}{2a}) \\ \\ \\ where: \\ \\ \\ f(x)=ax^2+bx+c \\ \\ \\ So: \\ \\ a=3 \\ \\ b=-18 \\ \\ c=33

Therefore:

x=-\frac{(-18)}{2(3)}=3 \\ \\ f(3)=3(3)^2-18(3)+33=27-54+33=6

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\boxed{V(3,6)}

6 0
3 years ago
The sum of four consecutive numbers is 230. What is the largest of these numbers
vodka [1.7K]

Answer:

n + n+1 + n+2 + n+3 = 230

4n = 224

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Step-by-step explanation:


7 0
3 years ago
Damon is 7 years older than his brother Mark. The sum of Damon and marks age is 29
Ugo [173]

Answer:

Damon is 18, Damon's brother is 11 years old.

Step-by-step explanation:

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3 0
3 years ago
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Which expression is equivalent to 8(u + 3)?
Korolek [52]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

7 0
3 years ago
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