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प्रश्न
Simplify:
\[\frac{4 x^2 - 11x + 6}{16 x^2 - 9}\]
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:
\[\frac{m^2 - n^2}{\left( m + n \right)^2} \times \frac{m^2 + mn + n^2}{m^3 - n^3}\]
Simplify:
\[\frac{a^3 - 27}{5 a^2 - 16a + 3} \div \frac{a^2 + 3a + 9}{25 a^2 - 1}\]
Factorise:
27m3 − 216n3
Factorise:
125y3 − 1
Simplify:
(3a + 5b)3 − (3a − 5b)3
Simplify:
(3xy − 2ab)3 − (3xy + 2ab)3
Factorise: x3 - 8y3
Factorise: 27p3 - 125q3.
Factorise: 54p3 - 250q3.
Simplify: (a - b)3 - (a3 - b3)
