Advertisements
Advertisements
प्रश्न
Expand.
`(m + 2/3)(m − 7/3)`
उत्तर
Here,
x → m, `a -> 2/3, b -> -7/3`
We know that,
(x + a) (x + b) = x2 + (a + b)x + ab
∴ `(m + 2/3)(m − 7/3) = m^2 + [2/3 + (-7/3)]m + (2/3)(-7/3)`
= `m^2 + [2/3 - 7/3]m - 14/9`
= `m^2 + [(2 - 7)/3]m - 14/9`
= `m^2 + [(-5)/3]m - 14/9`
= `m^2 - 5/3 m - 14/9`
∴ `(m+2/3)(m-7/3) = m^2 - 5/3m - 14/9`
संबंधित प्रश्न
Expand: (x + 2)(x + 3).
Expand: (2a + 3b)(2a - 3b).
Expand: `(m + 3/2)(m + 1/2)`.
Using the identity (x + a)(x + b) = x2 + x(a + b) + ab, find the following product
(8 + pq)(pq + 7)
Simplify using identities
(3p + q)(3p + r)
(x + a)(x + b) = x2 + (a + b)x + ______.
x2 + (a + b)x + ab = (a + b)(x + ab)
Using suitable identities, evaluate the following.
104 × 97
Using suitable identities, evaluate the following.
101 × 103
The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.
x2 – 6x + 8
