Add the following expressions: 5/8p⁴ + 2p² + 5/8, 1/8 - 17p + 9/8 p² and p⁵ - p³ + 7
Solution:
Given, the expressions are 5/8p⁴ + 2p² + 5/8, 1/8 - 17p + 9/8 p² and p⁵ - p³ + 7
We have to add the expressions
On adding the expressions,
= 5/8p⁴ + 2p² + 5/8 + (1/8 - 17p + 9/8 p²) + (p⁵ - p³ + 7)
By combining like terms,
= 5/8p⁴ + 2p² + 9/8 p² - 17p + p⁵ - p³ + 5/8 + 1/8 + 7
= 5/8p⁴ + (2 + 9/8)p² - 17p + p⁵ - p³ + (5/8 + 1/8) + 7
= 5/8p⁴ + [(16+9)/8]p² - 17p + p⁵ - p³ + (6/8 + 7)
= 5/8p⁴ + 25/8 p² - 17p + p⁵ - p³ + [(6+56)/8]
= 5/8p⁴ + 25/8 p² - 17p + p⁵ - p³ + 62/8
= p⁵ + 5/8p⁴ - p³ + 25/8 p² - 17p + 31/4
Therefore, the sum of the expressions is p⁵ + 5/8p⁴ - p³ + 25/8 p² - 17p + 31/4
✦ Try This: Add the following expressions: ¾p⁴ + 4p² +¾, 5/4 - 19p + 7/4 p² and 3p⁵ - 4p³ + 32
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 57 (i)
Add the following expressions: 5/8p⁴ + 2p² + 5/8, 1/8 - 17p + 9/8 p² and p⁵ - p³ + 7
Summary:
On adding the expressions 5/8p⁴ + 2p² + 5/8, 1/8 - 17p + 9/8 p² and p⁵ - p³ + 7, we get p⁵ + 5/8p⁴ - p³ + 25/8 p² - 17p + 31/4
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