Also, go through the solutions to understand expansion of cubes. Highly-experienced Maths experts have created the answers for textbook exercises in a step-wise format to help it easy for students to understand and learn.
With thorough revision using Selina textbook solutions, you will learn to evaluate identities using the right methods. If you need explanation on the basics of expansion, check our ICSE Class 9 Maths concept videos and other chapter resources. The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y. Product of x and y is 15 in both cases. The difference between two positive numbers is 5 and the sum of their squares is Find the product of these numbers.
Let the two positive numbers be a and b. Given difference between them is 5 and sum of squares is Squaring on both sides gives. So, the product of numbers is Use property to evaluate:. Thus from equations 1 , 2 and 3 , we have.
The sum of two numbers is 9 and their product is Find the sum of their. Given sum of two numbers is 9 and their product is Let the numbers be a and b. Cubing on both sides gives. So the sum of cubes is If the difference of these numbers is 5 and their product is 24, find:. So, difference of their cubes is Cubing both sides, we get.
So, sum of their cubes is Dividing by x, we have. Given 3x -. We need to find. Given that. We need to find the value of. Consider the given equation:. By cross multiplication,. Dividing both sides by x,. Cubing both sides,. Hence proved. The sum of two numbers is 7 and the sum of their cubes is , find the sum of their square. Let a, b be the two numbers. The difference between two positive numbers is 4 and the difference between their cubes is Given difference between two positive numbers is 4 and difference between their cubes is Sum of their squares is Using identity:.
Using suitable identity, evaluate. Prove that:. Since square of any number is positive, the given equation is always positive.
In result ii , replacing b by -b, we get. Enter the OTP sent to your number Change. Resend OTP. Starting early can help you score better! Avail Offer. Chapter 4 - Expansion Exercise Ex. Question 2. Use identities to evaluate: i 2 ii 2 iii 97 2 iv 2. Question 3. Evalute: i ii. Question 4. Question 5. Question 6. Question 7. Question 8.
Question 9. Question Find the sum of their i Squares ii Cubes. If the difference of these numbers is 5 and their product is 24, find: i Sum of these numbers ii Difference of their cubes iii Sum of their cubes. In the expansion of 2x 2 - 8 x - 4 2 ; find the value of i coefficient of x 3 ii coefficient of x 2 iii constant term. Given 3x - We need to find. Given that We need to find the value of Consider the given equation:. If i ii. Find: i Their product ii The sum of their squares.
Using suitable identity, evaluate i 3 ii 97 3. Have an account? Sign In. Verify mobile number. Set Password. Sign In Reset Password. Sign In Kindly Sign up for a personalized experience. New to TopperLearning? Join Us. Kindly subscribe to continue View Plans. Add to favourite Share Remove.
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