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प्रश्न
x2 + (a + b)x + ab = (a + b)(x + ab)
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
We need to factorize x2 + (a + b)x + ab,
By splitting the middle term:
x2 + (a + b)x + ab = x2 + ax + bx + ab ...[∵ ax + bx = (a + b)x and ax × bx = abx2]
⇒ x2 + (a + b)x + ab = x(x + a) + b(x + a)
⇒ x2 + (a + b)x + ab = (x + a)(x + b)
And (x + a)(x + b) ≠ (a + b)(x + ab)
⇒ x2 + (a + b)x + ab ≠ (a + b)(x + ab)
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