1. If x + y = 12 and xy = 32, Find the value of x2
+ y2
.
2. If 3x + 2y = 12 and xy = 6, find the value of 9x2
+ 4y2
.
3. Write the following cubes in the expanded form:
(i) (3a + 4b)3
(ii) (5p – 3q)3
4. If a + b + c = 15 and a2
+ b2
+ c2
= 83, find the value of a3
+ b3
+ c3
– 3abc.
5. Factorize:
(i) 6ab – b2
+ 12ac – 2bc
(ii) 9(2a – b)2
– 4(2a – b) – 13
6. If x3
+ ax2
– bx + 10 is divisible by x2
– 3x + 2, find the values of a and b.
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Answer:
the first two questions are solved in the above picture.
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