Add the following expressions: p² - q + r, q² - r + p and r² - p + q

Solution:

Given, the expressions are p² - q + r, q² - r + p and r² - p + q

We have to add the expressions

On adding the expressions,

= p² - q + r + (q² - r + p) + (r² - p + q)

By combining like terms,

= p² -q +q + r - r + p - p + q² + r²

By distributive property,

= p² + q² + r² + (1 - 1)q + (1 - 1)r + (1 - 1)p

= p² + q² + r² + (0)q + (0)r + (0)p

= p² + q² + r² + 0

= p² + q² + r²

Therefore, the sum of the expressions is p² + q² + r².

✦ Try This: Add the following expressions: 2p² - 2q + 2r, 3q² - 3r + 3p and 4r² - 4p + 4q

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 57 (d)

Add the following expressions: p² - q + r, q² - r + p and r² - p + q

Summary:

On adding the expressions p² - q + r, q² - r + p and r² - p + q, we get p² + q² + r²

☛ Related Questions:

• Add the following expressions: x³y² + x²y³ +3y⁴ and x⁴ + 3x²y³ + 4y⁴
• Add the following expressions: p²qr + pq²r + pqr² and - 3pq²r -2pqr²
• Add the following expressions: uv - vw, vw - wu and wu - uv