What is 3a^2+8a+5-a^2+4a-4 ?

The solution to 3a^2+8a+5-a^2+4a-4 is 2a^2+12a+1

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simplify 3a^2+8a+5-a^2+4a-4

simplify

3 a^{2} + 8 a + 5 - a^{2} + 4 a - 4

2 a^{2} + 12 a + 1

Solution steps

3 a^{2} + 8 a + 5 - a^{2} + 4 a - 4

Group like terms

= 3 a^{2} - a^{2} + 8 a + 4 a + 5 - 4

Add similar elements:

3 a^{2} - a^{2} = 2 a^{2}

= 2 a^{2} + 8 a + 4 a + 5 - 4

Add similar elements:

8 a + 4 a = 12 a

= 2 a^{2} + 12 a + 5 - 4

Subtract the numbers:

5 - 4 = 1

= 2 a^{2} + 12 a + 1

5 i + 2 i

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