Algebra Question with answer Practice Question and Answer
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64d22a58a7983774471941cd 4 Q:
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Q: If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$
983 06022641f2dc71d4148a153c6
6022641f2dc71d4148a153c6- 130false
- 2-15false
- 3-30false
- 415true
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Answer : 4. "15"
Q: If $${\sqrt{7-2}\over\sqrt{7+2}}=a\sqrt{7}+b$$, then the value of a is :
976 05f1e99e21b4d8003eeb16c16
5f1e99e21b4d8003eeb16c16- 1$${4\over3}$$false
- 2$${-4√7\over3}$$false
- 3$${11\over2}$$false
- 4$$-{4\over3}$$true
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Answer : 4. " $$-{4\over3}$$"
Q: If $$ {x^{4}+x^{2}y^{2}+y^{4}={21\over256}}$$ and $$ {x^{2}+xy+y^{2}={3\over16}}$$ then $$ {2(x^{2}+y^{2})}=?$$
974 06051c545d3e3d30b29d9a4c8
6051c545d3e3d30b29d9a4c8- 1$$ {3\over 8}$$false
- 2$$ {5\over 8}$$true
- 3$$ {3\over 4}$$false
- 4$$ {5\over 16 }$$false
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Answer : 2. "$$ {5\over 8}$$"
Q: if a+b+c=7 and a3+b3+c3-3abc=175, then what is the value of (ab+bc+ca)?
955 064d22a58a7983774471941cd
64d22a58a7983774471941cd- 18true
- 29false
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Answer : 1. "8"
Q: if a=26 and b=22, then the value of $${{a^3-b^3}\over {a^2-b^2}}-{3ab\over a+b}$$ is
951 06480447b23e51f4777046d10
6480447b23e51f4777046d10- 1$$11\over 13$$false
- 2$$1\over 3$$true
- 3$$5\over 3$$false
- 4$$13\over 11$$false
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Answer : 2. "$$1\over 3$$"
Q: If 15x2 – 26x + 8 = (Ax + B) (Cx + D), where A and C are positive integers, then what is the value of (2A + B – C – 2D) ?
941 064b913132d3130f5753f024b
64b913132d3130f5753f024b- 10false
- 21true
- 32false
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Answer : 2. "1"
Q: If $$ {a={1+x\over 2-x}}$$, then find the value $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?
939 060225a53ad295556282a1958
60225a53ad295556282a1958- 1$$ {(1+x)(2+x)\over {2x-1}}$$false
- 2$$ {(1-x)(2-x)\over {x-1}}$$false
- 3$$ {(1+x)(2-x)\over {2x-1}}$$true
- 4$$ {(1+x)(2-x)\over {2x+1}}$$false
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Answer : 3. "$$ {(1+x)(2-x)\over {2x-1}}$$"
Q: if $$\sqrt { 11- 3\sqrt { 8}}=a+b\sqrt { 2}$$, then what is the value of (2a+3b)?
937 064c7650b42082e8c9b7a8bb5
64c7650b42082e8c9b7a8bb5- 17false
- 29false
- 33true
- 45false
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Answer : 3. "3"
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