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Maths-

General

Easy

Question

If P = 4x² - 5x + 2, Q = 4x² + 3x - 4 and R = 2x² - 5x - 5, find the value of 2P - Q + R

hint 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 = 4x² - 5x + 2.
Q = 4x² + 3x - 4.
R = 2x² - 5x - 5
Find: 2P - Q + R
○        Step 1.
○        Put the values of P, Q, and R in 2P - Q + R.
2P - Q + R
$rightwards double arrow$ 2(4x² - 5x + 2) - ( 4x² + 3x - 4 ) + ( 2x² - 5x - 5)
$rightwards double arrow$ 8x² - 10x + 4 - 4x² - 3x + 4 + 2x² - 5x - 5
○        Step 2.
○        Arrange like terms in descending order of their power.
$rightwards double arrow$ 8x² - 4x² + 2x² - 10x - 3x - 5x + 4 + 4 - 5
$rightwards double arrow$ 6x² - 18x + 3

Final Answer:

Hence, the value of 2P - Q + R is 6x² - 18x + 3.

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