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Algebra

Multiple Choice Questions

131.

If a + b = 3, then the value of a³ + b³ + 9ab is

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132.

If 6x² - 12x + 1 = 0, then the value of $27 straight x cubed space plus space fraction numerator 1 over denominator 8 straight x cubed end fraction$ is

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133.
If $fraction numerator straight x squared plus 3 straight x plus 1 over denominator straight x squared minus 3 straight x plus 1 end fraction equals space 1 half$ , then the value of $straight x plus 1 over straight x$ is

9

-9

1

1

-9

$fraction numerator straight x squared plus 3 straight x plus 1 over denominator straight x squared minus 3 straight x plus 1 end fraction space equals space 1 half$
$fraction numerator straight x squared plus 1 plus 3 straight x over denominator straight x squared plus 1 minus 3 straight x end fraction space equals space 1 half$
$rightwards double arrow space space fraction numerator straight x open parentheses straight x plus begin display style 1 over straight x end style close parentheses plus 3 straight x over denominator straight x open parentheses straight x plus begin display style 1 over straight x end style close parentheses minus 3 straight x end fraction space equals space 1 half or rightwards double arrow space space space fraction numerator open parentheses straight x plus begin display style 1 over straight x end style close parentheses plus 3 over denominator open parentheses straight x plus begin display style 1 over straight x end style close parentheses minus 3 end fraction space equals space 1 half$
$rightwards double arrow space space 2 open parentheses straight x plus 1 over straight x close parentheses plus 6 space equals space open parentheses straight x plus 1 over straight x close parentheses minus 3 rightwards double arrow space space 2 open parentheses straight x plus 1 over straight x close parentheses minus open parentheses straight x plus 1 over straight x close parentheses space equals space minus 3 minus 6 therefore space space open parentheses straight x plus 1 over straight x close parentheses space equals space minus 9$

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134.

If $straight a over straight b space plus space straight b over straight a space equals space 1 comma$ then the value of a³ + b³ - 2 is

0
-2
-1
-1

55 Views

135.

If $straight x plus 1 over straight x space equals space square root of 3$ , then the value of $straight x cubed space plus space 1 over straight x cubed$ is

$square root of 3$
$fraction numerator 1 over denominator square root of 3 end fraction$
0
0

45 Views

136.

If x + y = 1 + xy, then x³ + y³ - x³y³ is equal to

0
1
-1
-1

69 Views

137.

If $4 straight x space plus space 1 over straight x space equals space 5 comma$ $straight x not equal to 0 comma$ then the value of $fraction numerator 5 straight x over denominator 4 straight x squared plus 10 straight x plus 1 end fraction$ is

$1 half$
$1 third$
$2 over 3$
$2 over 3$

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138.

If $straight c plus 1 over straight c space equals space square root of 3 comma$ then the value of $straight c cubed space plus space 1 over straight c cubed comma$ is equal to

0
$3 square root of 3$
$fraction numerator 1 over denominator square root of 3 end fraction$
$fraction numerator 1 over denominator square root of 3 end fraction$

53 Views

139.

If $straight x space equals space 3 to the power of 1 third end exponent space minus space 3 to the power of negative 1 third end exponent comma$ then 3x³ + 9x is equal to