To simplify divide each polynomial by a number (you may need to factor the numerator and or denominator to find the common term)

1. 48x + 32y/32
2. 9a-15b/12
3. 6b+24c/18
4. 25a+5b+15c/10

show each step and break down

Respuesta :

Answer:

The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]

Step-by-step explanation:

Step 1 of 4

[tex]\frac{48x+32y}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]

[tex]=\frac{3x+2y}{2}[/tex]

Step 2 of 4

[tex]\frac{9a-15b}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]

[tex]=\frac{3a-5b}{4}[/tex]

Step 3 of 4

[tex]\frac{6b+24c}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]

[tex]=\frac{b+4c}{3}[/tex]

Step 4 of 4

[tex]\frac{25a+5b+15c}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]

[tex]=\frac{5a+b+3c}{2}[/tex]

Learn more about polynomial, refer :

https://brainly.com/question/13769924

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