Maths-

General

Easy

Question

# If P = 4x^{2} - 5x + 2, Q = 4x^{2} + 3x - 4 and R = 2x^{2} - 5x - 5, find the value of 2P - Q + R

Hint:

### Analyze the given situation.

Interpret the answer from it.

Put values in a given expression to get an answer.

## The correct answer is: Hence, the value of 2P - Q + R is 6x2 - 18x + 3.

○

- Step-by-step explanation:

○ Given:

P = 4x^{2} - 5x + 2.

Q = 4x^{2} + 3x - 4.

R = 2x^{2} - 5x - 5

Find: 2P - Q + R

○ Step 1.

○ Put the values of P, Q, and R in 2P - Q + R.

2P - Q + R

2(4x^{2} - 5x + 2) - ( 4x^{2} + 3x - 4 ) + ( 2x^{2} - 5x - 5)

8x^{2} - 10x + 4 - 4x^{2} - 3x + 4 + 2x^{2} - 5x - 5

○ Step 2.

○ Arrange like terms in descending order of their power.

8x^{2} - 4x^{2} + 2x^{2} - 10x - 3x - 5x + 4 + 4 - 5

6x^{2} - 18x + 3

- Final Answer:

Hence, the value of 2P - Q + R is 6x^{2} - 18x + 3.

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