4. Simplify the following expressions and then find the numerical values for x = -2.
(i) 3(2x – 4) + x2 + 5
(ii) -2(-3x + 5) – 2(x + 4)
5. Find the value of t if the value of 3x2 + 5x – 2t equals to 8, when x = -1.
6. Subtract the sum of -3x3y
2 + 2x2y 3 and -3x2y 3 – 5y4 from x4 + x3y2 + x2y3 + y4
7. What should be subtracted from 2x3 – 3x2y + 2xy2 + 3y2
to get x3 – 2x2y + 3xy2 + 4y2?
8. To what expression must 99x3 – 33x2 – 13x – 41 be added to make the sum zero?
9. If P = 2x2 – 5x + 2, Q = 5x2 + 6x – 3 and R = 3x2 – x – 1. Find the value of 2P – Q + 3R.
10. Rohan’s mother gave him ₹ 3xy2 and his father gave him ₹ 5(xy2 + 2). Out of this total money he spent ₹ (10 –3xy2) on his birthday party. How much money is left with him?
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