Advertisements
Advertisements
प्रश्न
Find the following product: (z2 + 2) (z2 − 3)
Advertisements
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x - b \right) = x^2 + \left( a - b \right)x - ab\].
\[\left( z^2 + 2 \right)\left( z^2 - 3 \right)\]
\[ = \left( z^2 \right)^2 + \left( 2 - 3 \right)\left( z^2 \right) - 2 \times 3\]
\[ = z^4 - z^2 - 6\]
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (79)2 − (69)2
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Find the following product: (x − 3) ( x − 2)
Expand the following:
(−p + 2q + 3r)2
Evaluate the following by using identities:
10013
Simplify:
(3x + 2y)2 – (3x – 2y)2
Simplify:
(pq – qr)2 + 4pq2r
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Using suitable identities, evaluate the following.
(1005)2
Perform the following division:
(3pqr – 6p2q2r2) ÷ 3pq
