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3 years ago

Six students are working to simplify the expression shown.

Mathematics

1 answer:

krok68 [10]3 years ago

6 0

Equivalent and Fully Simplified:

8+7x+4y

Equivalent and not fully simplified:

8+12x-5x+4y

15+7x+4y-7

Note Equivalent:

15-7x-4y

8+17x+4y

8+11y

Step-by-step explanation:

Given expression is:

$15+12x-5x+4y-7$

We will simplify the expression one by one

$8+12x-5x+4y$

$8+7x+4y$

Now we can categorize the expressions in boxes given below

Equivalent and Fully Simplified:

8+7x+4y

Equivalent and not fully simplified:

8+12x-5x+4y

15+7x+4y-7

Note Equivalent:

15-7x-4y

8+17x+4y

8+11y

Keywords: Expressions, simplification

Learn more about expressions at:

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

To find g(a-2)+3g(2a), find each part using the function g(x)=x²-5x+8.

g(a-2) = (a-2)²-5(a-2)+8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22

3g(2a) = 3{(2a)²-5(2a)+8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24

Combine the values to find g(a-2)+3g(2a).

g(a-2)+3g(2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46

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