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प्रश्न
Simplify : ( x + 6 )( x + 4 )( x - 2 )
उत्तर
Using identity :
(x + a)(x + b)(x + c) = x3 + (a + b + c)x2 + (ab + bc + ca)x + abc
(x + 6)(x + 4)(x - 2)
= x3 + (6 + 4 - 2)x2 + [6 × 4 + 4 × (-2) + (-2) × 6]x + 6 × 4 × (-2)
= x3 + 8x2 + (24 - 8 - 12)x - 48
= x3 + 8x2 + 4x - 48
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