All categories

2 years ago

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)

You might be interested in

(0,1),(1,3),(2,5),(3,7) function rule

DaniilM [7]

$\bf \begin{array}{ccll}x&y\\\cline{1-2}0&1\\[0.8em]1&\stackrel{2(1)+1}{3}\\[0.8em]2&\stackrel{2(2)+1}{5}\\[0.8em]3&\stackrel{2(3)+1}{7}\\[0.8em]x&2x+1\end{array}~\hspace{8em}y=2x+1$

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 x such that

x ≡ 1 (mod 451)

x ≡ 4 (mod 328)

x ≡ 1 (mod 673)

Recall that

x ≡ a (mod m)

x ≡ b (mod n)

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