Question

8. Add 5x2+9x+6 and 3x2+4x-8.​

Answer 1

Given :- Add 5x²+9x+6 and 3x²+4x-8.

Answer :-

→ (5x² + 9x + 6) + (3x² + 4x - 8)

solving brackets,

→ 5x² + 9x + 6 + 3x² + 4x - 8

now, taking like terms together,

→ 5x² + 3x² + 9x + 4x + 6 - 8

adding,

→ (8x² + 13x - 2) (Ans.)

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Answer 2

SOLUTION

TO DETERMINE

To add

$\sf{5 {x}^{2} + 9x + 6 \: \: \: and \: \: 3 {x}^{2} + 4x - 8 }$

EVALUATION

Step : 1

Write down the given expressions

The given expressions are

$\sf{5 {x}^{2} + 9x + 6 \: \: \: and \: \: 3 {x}^{2} + 4x - 8 }$

Step : 2

Write down the like terms together

$\sf{(5 {x}^{2} + 9x + 6) \: + \: (3 {x}^{2} + 4x - 8) }$

$\sf{ = (5 {x}^{2} + 3 {x}^{2}) +( 9x + 4x) \: + \: (6 - 8) }$

Step : 3

Calculate the result

$\sf{(5 {x}^{2} + 9x + 6) \: + \: (3 {x}^{2} + 4x - 8) }$

$\sf{ = (5 {x}^{2} + 3 {x}^{2}) +( 9x + 4x) \: + \: (6 - 8) }$

$\sf{ = 8 {x}^{2}+13x - 2 }$

FINAL ANSWER

Hence the required sum

$\sf{ = 8 {x}^{2}+13x - 2 }$

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