x2 - (a + b)x + ab is the expansion of :
(x - b)(x - a)
(x - b)(x + a)
(x + b)(x - a)
(x + a)(x + b)
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Given,
⇒ x2 - (a + b)x + ab
⇒ x2 - ax - bx + ab
⇒ x(x - a) - b(x - a)
⇒ (x - a)(x - b).
Hence, Option 1 is the correct option.
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If 4x2 + y2 = a and xy = b, find the value of 2x + y.
The expansion of (x - 3y)(x + 5y) is :
x2 + 2xy + 15y2
x2 + 2xy - 15y2
x2 - 2xy + 15y2
x2 - 2xy - 15y2
If a + b - c = 4 and a2 + b2 + c2 = 14, the value of ab - bc - ca is :
2
1
0.5
-0.5