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प्रश्न
factorise: x2 + 6x + 8
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उत्तर
To factorize x2 + 6x + 8, we use the method of splitting the middle term.
The two numbers are 4 and 2, since:
4 ⋅ 2 = 8 and 4 + 2 = 6.
Split the middle term using these numbers
x2 + 6x + 8 = x2 + 4x + 2x + 8
(x2 + 4x) + (2x + 8)
Factorize each group:
x(x + 4) + 2(x + 4)
Factor out the common term (x+4):
(x + 4)(x + 2)
x2 + 6x + 8 = (x + 4)(x + 2)
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