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प्रश्न
Simplify:
\[\frac{4 x^2 - 11x + 6}{16 x^2 - 9}\]
सरल रूप दीजिए
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उत्तर
It is known that,
a2 − b2 = (a + b) (a − b)
\[\ \frac{4 x^2 - 11x + 6}{16 x^2 - 9}\]
\[ = \frac{4 x^2 - 8x - 3x + 6}{\left(4x \right)^2 - \left(3 \right)^2}\]
\[ = \frac{4x\left(x - 2 \right) - 3\left(x - 2 \right)}{\left(4x + 3 \right)\left(4x - 3 \right)}\]
\[ = \frac{\left(4x - 3 \right)\left(x - 2 \right)}{\left(4x + 3 \right)\left( 4x - 3 \right)}\]
\[ = \frac{x - 2}{4x + 3}\]
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क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
Simplify:
\[\frac{a^2 + 10a + 21}{a^2 + 6a - 7} \times \frac{a^2 - 1}{a + 3}\]
Factorise:
y3 − 27
Factorise:
125y3 − 1
Factorise:
8p3 −\[\frac{27}{p^3}\]
Simplify:
(a + b)3 − a3 − b3
Factorise: x3 - 8y3
Factorise: 27p3 - 125q3.
Factorise: 54p3 - 250q3.
Simplify: (2x + 3y)3 - (2x - 3y)3
Factorise the following:
27x3 – 8y3
