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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

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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

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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

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136.

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

0
1
-1
-1

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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

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

straight c plus 1 over straight c space equals space square root of 3

straight x plus 1 over straight x space equals space straight a comma space

then

straight x cubed space plus space 1 over straight x cubed equals space straight a cubed minus 3 straight a

therefore space space straight c cubed space plus space 1 over straight c cubed space equals space left parenthesis square root of 3 right parenthesis cubed minus 3 square root of 3 space equals space 3 square root of 3 minus 3 square root of 3 space equals 0

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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