Advertisements
Advertisements
Question
Find the following product: (z2 + 2) (z2 − 3)
Advertisements
Solution
Here, we will use the identity \[\left( x + a \right)\left( x - b \right) = x^2 + \left( a - b \right)x - ab\].
\[\left( z^2 + 2 \right)\left( z^2 - 3 \right)\]
\[ = \left( z^2 \right)^2 + \left( 2 - 3 \right)\left( z^2 \right) - 2 \times 3\]
\[ = z^4 - z^2 - 6\]
RELATED QUESTIONS
Find the value of x, if 5x = (50)2 − (40)2.
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Evaluate the following by using identities:
983
On dividing 57p2qr by 114pq, we get ______.
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
(a2 + b2)2
Using suitable identities, evaluate the following.
(98)2
Using suitable identities, evaluate the following.
(1005)2
Carry out the following division:
51x3y2z ÷ 17xyz
