(i) If z = 10, find the value of z³ - 3(z - 10).
(ii) If p = - 10, find the value of p² - 2p - 100.

Solution:

(i) Here z = 10,

We need to determine the value of z³ - 3(z - 10)

Let's first simplify the expression z³ - 3(z - 10)

= z³ - 3z + 30

Now putting the value of z = 10

= (10)³ - (3×10) + 30

= 1000 - 30 + 30

= 1000 is the required value.

(ii) Here, p = -10,

We need to determine the value of p² - 2p - 100

Put the value of p = -10 to solve the given expression

= (-10)² - 2 × (-10) -100

= 100 + 20 -100

= 20 is the required value.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 12

Video Solution:

(i) If z = 10, find the value of z³ - 3(z - 10). (ii) If p = -10, find the value of p² -2p - 100

Maths NCERT Solutions Class 7 Chapter 12 Exercise 12.3 Question 8

Summary:

(i) If z = 10, value of z³ - 3(z - 10) is 1000. (ii) If p = -10, value of p² -2p - 100 is 20.

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