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प्रश्न
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – 1
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उत्तर
We have,
x4 – 1 = (x2)2 – 1
= (x2 + 1)(x2 – 1)
= (x2 + 1)(x + 1)(x – 1)
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संबंधित प्रश्न
Expand: 102 x 98
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(a + b)(a – b) = a2 – b2
Using suitable identities, evaluate the following.
(132)2 – (68)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/9 - y^2/25`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/8 - y^2/18`
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Factorise the expression and divide them as directed:
(x3 + x2 – 132x) ÷ x(x – 11)
Verify the following:
(p – q)(p2 + pq + q2) = p3 – q3
