Algebra Question with answer Practice Question and Answer

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 0

  • 1
    30
    Correct
    Wrong
  • 2
    -15
    Correct
    Wrong
  • 3
    -30
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "15"

Q:

 If $${\sqrt{7-2}\over\sqrt{7+2}}=a\sqrt{7}+b$$, then the value of a is : 

976 0

  • 1
    $${4\over3}$$
    Correct
    Wrong
  • 2
    $${-4√7\over3}$$
    Correct
    Wrong
  • 3
    $${11\over2}$$
    Correct
    Wrong
  • 4
    $$-{4\over3}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    $$ {3\over 8}$$
    Correct
    Wrong
  • 2
    $$ {5\over 8}$$
    Correct
    Wrong
  • 3
    $$ {3\over 4}$$
    Correct
    Wrong
  • 4
    $$ {5\over 16 }$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    8
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    $$11\over 13$$
    Correct
    Wrong
  • 2
    $$1\over 3$$
    Correct
    Wrong
  • 3
    $$5\over 3$$
    Correct
    Wrong
  • 4
    $$13\over 11$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    $$ {(1+x)(2+x)\over {2x-1}}$$
    Correct
    Wrong
  • 2
    $$ {(1-x)(2-x)\over {x-1}}$$
    Correct
    Wrong
  • 3
    $$ {(1+x)(2-x)\over {2x-1}}$$
    Correct
    Wrong
  • 4
    $$ {(1+x)(2-x)\over {2x+1}}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    7
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "3"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully