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astraxan [27]
2 years ago
7

Xy3-9xyz2 is my math problem and I need help with the complete breakdown

Mathematics
1 answer:
lbvjy [14]2 years ago
3 0

(x • (y³)) - 32xyz²

Pull out like factors :

xy³ - 9xyz² = xy • (y² - 9z²)

Factoring: y² - 9z²

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : y² is the square of y¹

Check : z² is the square of z¹

Factorization is : (y + 3z) • (y - 3z)

Final result :

xy • (y + 3z) • (y - 3z)

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7 0
3 years ago
.. Stevie had of a gallon of paint. He divided the paint equally into three containers. How much paint did he put in each contai
bekas [8.4K]
2.2 pints because 1 gallon is equal to 8 pints so then you divide 8 by 3 because their is 3 containers.
5 0
2 years ago
Find the greatest number that divides451, 328 and 673 leaving 1, 4 and 1,respectively as remainders.
Vesna [10]

You're looking for the largest number <em>x</em> such that

<em>x</em> ≡ 1 (mod 451)

<em>x</em> ≡ 4 (mod 328)

<em>x</em> ≡ 1 (mod 673)

Recall that

<em>x</em> ≡ <em>a</em> (mod <em>m</em>)

<em>x</em> ≡ <em>b</em> (mod <em>n</em>)

is solvable only when <em>a</em> ≡ <em>b</em> (mod gcd(<em>m</em>, <em>n</em>)). But this is not the case here; with <em>m</em> = 451 and <em>n</em> = 328, we have gcd(<em>m</em>, <em>n</em>) = 41, and clearly

1 ≡ 4 (mod 41)

is not true.

So there is no such number.

4 0
2 years ago
What is the solution to the system of equations graphed below?
Anvisha [2.4K]
I am pretty sure it is D
3 0
3 years ago
What is a necessary step for constructing perpendicular lines through a point on a line?
maxonik [38]

Answer:

Edit: This is incorrect, it might actually be the 3rd answer, draw arcs on either side of a given point on the line?

Draw arcs on either side of a given point off of the line I believe.

Step-by-step explanation:

Bisect a Segment:

Step 1 - open up your compass so that it is slightly larger than the segment. Put the compass on point A on the given segment and swing an arc above and below the lines. Do the same on point B. Create the points where the circle intersects.

Step 2 - Draw a line going through the points. That’s the bisector.

6 0
3 years ago
Read 2 more answers
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