Simplify each of the following algebraic expressions:
1. (a^{2} +b^{2} +2ab)(a^{2} +b^{2}2ab)
2. 5 (a+b) +
2(2ab)+4a7
3. –m – [
m+{m+n2m(m2n)}n]
4. 85[
12x7(8x3)2{10x5(24x)}]
5. 4(a^{2}+b^{2}+2ab) –[4(a^{2}+b^{2}2ab){b^{3}+(a3)}]
6. 5+[x{2y(6x+y4)+2x^{2}}(x^{2}2y)]
7. 4(x+y) 2(xy)8(x+y)
8. 2(x+y+z) 4(yx)6(xy)
9. Simplify
and verify the results for (a^{2}ab+b^{2}) (a+b) if a= 1;b=0
Factorise:
11. 2(a+b) (4p+q) + 4(a+b)(p+q)
12. xy+bcxyzbcz
13. lm+ mn+nl+n^{2}
14. abc+2a^{2}b^{2}c2
+ 1 + 2abc
15. 8z(x+y) + 64 z^{2}(x+y)^{2}
16. Amirshand
bought a lot of woolen garments from Ludhiana at a cost of Rs
65,000. He wants to make 15% profit. What should be the selling price of the
whole lot?
17. Rs. 30,000
were lent to Amit and sanjeev at 6% per annum for a period of
3 years and 5 years respectively. Find the difference of interests paid
by them.
18. A book
seller bought 2,400 pencils at Rs 15 a dozen. He sold 1,050 of them at 5 for Rs
8 and remaining at 1 for Rs 2. Find his gain or loss percent.
19. A man bought 2
tables for 4000 each. If he sells one at a loss 5% and one at a profit of
6% find his net gain or loss.
20. Leena bought
a wooden box for Rs 2000. And spend Rs. 200 on varnishing,
further she spend Rs100 on transporting the box. If she sells
it for Rs 3000 find Leena’s profit or loss percentage.
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