Question

1. Show that: (4pq + 3q)2 – (4pq – 3q)2 = 48pq2

2. Find the value of x, if 10000x = (9982)2 – (18)2

3. Simplify : x
2
(x – 3y2
) – xy(y2 – 2xy) – x(y3 – 5x2
)

4. Add: 8x2 + 7xy – 6y2
, 4x2 – 3xy + 2y2 and -4x2 +xy– y
2

5. Subtract: 3x2 – 5x + 7 from 5x2 – 7x + 9

6. Multiply x2 + 2y by x3 – 2xy + y3 and find the value of the product for x = 1 and y = -1.

7. Use a suitable identity and find the product of (i)5(xy- 3z)2

(ii) (4x + 9) (4x + 12)

8.Solve the following: (81)-4 ÷ (729)2-x = 94x
​

Answer 1

Answer:

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