Question

1.) 4x + 6x - 3 + 8
2.) 7y - 3y + 5 - 1
3.) 2x² + 3x + 1 + x² - 4x + 5
4.) 5a + 6 - 3a² + 4a² - 2a + 9
5.) 3x² + 2x - 4 + 6x - 5x² + 10
6.) 8y² - 3y + 7 + 2y² + 5y - 4 - 6

Explanation:

Step1: Combine like $x$ terms

$4x + 6x = 10x$

Step2: Combine constant terms

$-3 + 8 = 5$

Step3: Combine results

$10x + 5$

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Step1: Combine like $y$ terms

$7y - 3y = 4y$

Step2: Combine constant terms

$5 - 1 = 4$

Step3: Combine results

$4y + 4$

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Step1: Combine like $x^2$ terms

$2x^2 + x^2 = 3x^2$

Step2: Combine like $x$ terms

$3x - 4x = -x$

Step3: Combine constant terms

$1 + 5 = 6$

Step4: Combine results

$3x^2 - x + 6$

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Step1: Combine like $a^2$ terms

$-3a^2 + 4a^2 = a^2$

Step2: Combine like $a$ terms

$5a - 2a = 3a$

Step3: Combine constant terms

$6 + 9 = 15$

Step4: Combine results

$a^2 + 3a + 15$

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Step1: Combine like $x^2$ terms

$3x^2 - 5x^2 = -2x^2$

Step2: Combine like $x$ terms

$2x + 6x = 8x$

Step3: Combine constant terms

$-4 + 10 = 6$

Step4: Combine results

$-2x^2 + 8x + 6$

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Step1: Combine like $y^2$ terms

$8y^2 + 2y^2 = 10y^2$

Step2: Combine like $y$ terms

$-3y + 5y = 2y$

Step3: Combine constant terms

$7 - 4 - 6 = -3$

Step4: Combine results

$10y^2 + 2y - 3$

Answer:

1. $10x + 5$
2. $4y + 4$
3. $3x^2 - x + 6$
4. $a^2 + 3a + 15$
5. $-2x^2 + 8x + 6$
6. $10y^2 + 2y - 3$