Mathematics: An expression is shown below: 3x3y + 12xy − 9x2y − 36y Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

An expression is shown below: 3x3y + 12xy − 9x2y

cchsemily7210

25.08.2020

(a) 3y(x^3+4x-3x^2-12)

(b) 3y(x^2+4)(x-3)

Step-by-step explanation:

Given the expression: 3x^3y + 12xy - 9x^2y -36y

Part A

If we consider the terms: 3x^3y ,12xy,9x^2y,36y in the expression. The common terms are 3 and y.

Therefore the greatest common factor of the terms is 3y.

Factoring this out, we obtain:

3x^3y + 12xy - 9x^2y -36y=3y(x^3+4x-3x^2-12)

Part B

Next, we factor the expression completely

$3x^3y + 12xy - 9x^2y -36y\\=3y(x^3+4x-3x^2-12)\\$Rearranging we obtain:\\=3y(x^3-3x^2+4x-12)\\=3y[x^2(x-3)+4(x-3)]\\=3y(x^2+4)(x-3)$

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larissa1013

11.04.2020

€1333.33

Step-by-step explanation:

Al Tom ratio to Joe=5:4

Joe gets 1.5 times the amount Al gets

€3000 in the ratio 5:4

Al share

5/9×3000

=€1666.67

Joe share

4/9×3000

=€1333.33

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