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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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165432

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Order the side lengths from least to greatest
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Answer:

BC < CE < BE < ED < BD

Step-by-step explanation:

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m∠BEC + 81° + 54° = 180°

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m∠BEC = 45°

Order of the angles from least to greatest,

m∠BEC < m∠CBE > mBCE

Sides opposite to these sides will be in the same ratio,

BC < CE < BE ----------(1)

Now in ΔBED,

m∠BEC + m∠BED = 180°

m∠BED = 180 - 45

             = 135°

Now, m∠BDE + m∠BED + DBE = 180°

11° + 135°+ m∠DBE = 180°

m∠DBE = 180 - 146

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Order of the angles from least to greatest will be,

∠BDE < ∠DBE < ∠BED

Sides opposite to these angles will be in the same order.

BE < ED < BD ----------(2)

From relation (1) and (2),

BC < CE < BE < ED < BD

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3 years ago
18 tens 20 ones equal what hundreds
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A basin has the shape of a prism. What is the capacity of this basin? *
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17n + 4n- 4= 122<br><br> how do i solve for n?
Leokris [45]

Answer:

n = 6

Step-by-step explanation:

17n + 4n - 4 =122

combine like terms  17n & 4n

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21n / 21 = 126 / 21

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