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Expansions
Class 9
Exercise/MCQ Set 1
Expansions
1. Expand : (2x - 3y)
2
4x2 - 12xy + 9y2
4x2 - 12xy - 9y2
16x2 - 12xy + 9y2
4x2 - 6xy + 9y2
2. If 3x + 2y = 12 and xy = 6, find the value of 9x
2
+ 4y
2
28
56
72
144
3. Expand : (7a + 5b)
2
49a2 + 70ab - 25b2
49a2 + 70ab + 25b2
49a2 + 35ab + 25b2
35a2 + 70ab + 25b2
4. If x - 1/x = -1, find the value of x
2
+ 1/x
2
5
1
9
3
5. Evaluate (97)
2
using a suitable identity.
9604
9409
9506
9700
6. By using standard formulae, expand :- (3x + 1/2x)
2
9𝑥2 +1/4𝑥2 + 3
9𝑥2 +1/4𝑥2 + 9
9𝑥2 + 4𝑥2 + 3
9𝑥2 - 1/4𝑥2 + 3
7. Simplify : (2x - 3/x) (2x + 3/x)
4x2 - 3/x2
4x2 + 9/x2
4x2 - 9/x2
x2 - 9/x2
8. By using standard formulae expand : (x - 7)(x + 9)
x2 - 2x + 63
x2 + 2x - 63
x2 + 2x - 54
x2 + x - 63
9. If x + y = 10 and xy = 21, find 2(x
2
+ y
2
).
100
121
116
118
10. Expand : (-x - y)
2
x2 + 2xy + y2
- x2 - 2xy + y2
x2 + 2xy - y2
x2 + xy + y2
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Expansions
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