Q1.Subtract 4x2 – 7x + 9 from the sum of 3x2 – 5x + 2 and – 5x2 – 8x + 9.
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Explanation:
We have given three Equation 4x²-7x+9
3x²-5x+2 & -5x²-8x+9
Firstly we have to find the sum
Sum : (3x²-5x+2) + (-5x²-8x+9)
opening the brackets and expanding the terms
=>3x²-5x+2-5x²-8x+9
Solving x² terms
=>3x²-5x² -5x+2-8x+9
=>-2x²-5x-8x+2+9
solving x terms
=> -2x²-13x+2+9
solving constant terms
=>-2x²-13x+11
Now, substract 4x²-7x+9 from -2x²-13x+11
Write -2x²-13x+11 first and then substract 4x²-7x+9
=> -2x²-13x+11-(4x²-7x+9)
opening the brackets and expanding the terms
=>-2x²-13x+11-4x²+7x-9
Making like terms together
=> -2x²-4x²-13x+7x+11-9
=> -6x²-6x +2
Taking 2 common
2(-3x²-3x+1) (answer)
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