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Unit 04: ALGEBRAIC EXPRESSION
Fill In The Blanks And Multiple Choice Questions (MCQs)
1. (7a + 5) (7a - 5) = 49a2 - 25. [Hint: (a2 - b2 = (a-b)(a+b)]
2.(a + 3b)2 = a2 + 6ab + 9b2.
3. (3a - 2b)2 = 9a2 - 12ab + 4b2.
4. (3a3 + b3)3 = 27a9 + 27a6b3 + 9a3b6 + 9b9
5. (p - q)3 = p3 - 3p2q + 3pq2 - q3.
6.(2a2 - 5y2 - 3z2)2 = 4a4 + 25y4 + 9z4 - 20a2y2 + 30y2z2 - 12z2a2.
7. (x + 2) (x + 5) = x2 + 7x + 10.
8. (2l + 3m2) - (2l - 3m2)2 = 24lm2.
9. The polynomial expression x2 + 7x + 3 w.r.t the term is called trinomial.
10. The degree of polynomial x2 + xy2 + y is 3.
11. The algebraic expression 2a3y + 4ay2 -5a2 y3 in descending order w.r.t y is -5a2 y3 + 4ay2 + 2a3y.
12. The value of x - y - xy , if x = 1, y = 1 is 1.
13. (a + b)2 + (a - b)2 = 2a2 + 2b2,
14. if x + y = 8, xy = 15. Find x2 +y2 = 34.
15. x4 + 64 can made a perfect square 16x2.
16. if x3 + 4x2 - 7x + 3 is divided by x - 1 then remainder is 1.
17. (a - b + c)2 = a2 - b2 + c2 - 2ab - 2bc + 2ca
18. (x - 6) (x - 4) = x2 - 10x + 24.
19. If a + b = 2 and a - b = 2 then value of a2 + b2 is 4.
20. (√ x + √ y) (√ x - √ y) = (x - y)
21. (x - y)3 = x3 - y3 + 3x2y - 3xy2.
Special Thanks To Sir Sajjad Akber Chandio
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