Question

(b) From the sum of 4 + 3x and 5 - 4x + 2x², subtract the sum of 3x2 – 5x and
-x² + 2x + 5.​

Answer 1

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Answer 2

SOLUTION

TO DETERMINE

The result when subtract the sum of 3x² – 5x and

– 5x and-x² + 2x + 5 from the sum of 4 + 3x and 5 - 4x + 2x²

EVALUATION

STEP : 1

The sum of 3x² – 5x and -x² + 2x + 5

$= \sf{3 {x}^{2} - 5x - {x}^{2} + 2x + 5 \: }$

$= \sf{2 {x}^{2} - 3x + 5 \: }$

STEP : 2

The sum of 4 + 3x and 5 - 4x + 2x²

$\sf{ = 4 + 3x + 5 - 4x + 2 {x}^{2} \: }$

$= \sf{ 9 - x + 2 {x}^{2} \: }$

STEP : 3

Hence the required result

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

$\sf{ =9 - x + 2 {x}^{2} - 2 {x}^{2} + 3x - 5\: }$

$\sf{ =2x + 4\: }$

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