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प्रश्न
Simplify:
\[\frac{4 x^2 - 11x + 6}{16 x^2 - 9}\]
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उत्तर
It is known that,
a2 − b2 = (a + b) (a − b)
\[\ \frac{4 x^2 - 11x + 6}{16 x^2 - 9}\]
\[ = \frac{4 x^2 - 8x - 3x + 6}{\left(4x \right)^2 - \left(3 \right)^2}\]
\[ = \frac{4x\left(x - 2 \right) - 3\left(x - 2 \right)}{\left(4x + 3 \right)\left(4x - 3 \right)}\]
\[ = \frac{\left(4x - 3 \right)\left(x - 2 \right)}{\left(4x + 3 \right)\left( 4x - 3 \right)}\]
\[ = \frac{x - 2}{4x + 3}\]
संबंधित प्रश्न
Simplify:
\[\frac{3 x^2 - x - 2}{x^2 - 7x + 12} \div \frac{3 x^2 - 7x - 6}{x^2 - 4}\]
Simplify:
`(1 - 2x + x^2)/(1 - x^3) xx (1 + x + x^2)/(1 + x)`
Factorise:
y3 − 27
Factorise:
64x3 − 729y3
Simplify:
p3 − (p + 1)3
Simplify:
(3xy − 2ab)3 − (3xy + 2ab)3
Factorise: 54p3 - 250q3.
Simplify: (a - b)3 - (a3 - b3)
Simplify: (2x + 3y)3 - (2x - 3y)3
Factorise the following:
a6 – 64
