Simplify: (2.5m + 1.5q)² + (2.5m - 1.5q)²
Solution:
Given, (2.5m + 1.5q)² + (2.5m - 1.5q)²
Using standard identities: (a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b²
Here, a = 2.5m and b = 1.5q
(2.5m + 1.5q)² + (2.5m - 1.5q)²
= [(2.5m)² + 2(2.5m)(1.5q)+ (1.5q)²] + [(2.5m)² - 2(2.5m)(1.5q)+ (1.5q)²]
= 6.25m² + 7.5mq + 2.25q² + 6.25m² - 7.5mq + 2.25q²
= 12.5m² + 4.5q²
✦ Try This: Simplify: (1.2p + 0.5y)² + (1.2p - 0.5y)²
Given, (1.2p + 0.5y)² + (1.2p - 0.5y)²
Using standard identities: (a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b²
Here, a = 1.2p and b = 0.5y
= [(1.2p)² + 2(1.2p)(0.5y)+ (0.5y)²] + [(1.2p)² - 2(1.2p)(0.5y)+ (0.5y)²]
= 1.44p² + 1.2py + 0.25y² +1.44p² - 1.2py + 0.25y²
= 2.88p² + 0.5y²
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9
NCERT Exemplar Class 8 Maths Chapter 7 Problem 84(vi)
Simplify: (2.5m + 1.5q)² + (2.5m - 1.5q)²
Summary:
Simplifying (2.5m + 1.5q)² + (2.5m - 1.5q)² we get, 12.5m² + 4.5q²
☛ Related Questions:
visual curriculum