Advertisements
Advertisements
प्रश्न
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Advertisements
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].
\[\left( x + \frac{1}{5} \right)\left( x + 5 \right)\]
\[ = x^2 + \left( \frac{1}{5} + 5 \right)x + \frac{1}{5} \times 5\]
\[ = x^2 + \frac{26}{5}x + 1\]
संबंधित प्रश्न
Simplify the following using the identities: 178 × 178 − 22 × 22
Find the following product: (3x − 4y) (2x − 4y)
Find the following product: (x2 + 4) (x2 + 9)
Find the following product: (y2 + 12) (y2 + 6)
Multiply the following:
(3x2 + 4x – 8), (2x2 – 4x + 3)
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Expand the following, using suitable identities.
(x + 3)(x + 7)
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Expand the following, using suitable identities.
`((2x)/3 - 2/3)((2x)/3 + (2a)/3)`
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
