Verify that (11pq + 4q)² - (11pq - 4q)² = 176pq²

Solution:

L.H.S. = (11pq + 4q)² - (11pq - 4q)²

Using identity: a² - b² = (a - b) (a + b)

Substitute a = 11pq + 4q and b = 11 pq - 4q

= (11pq + 4q + 11pq - 4q) × (11pq + 4q - 11pq + 4q)

= (22pq) (8q)

= 176 pq²

∴ L.H.S = R.H.S

✦ Try This: Verify (12xy + 3y)² + (12xy - 3y)² = 288x²y² + 18y²

L.H.S = (12xy + 3y)² + (12xy - 3y)²

Using the identity, (a + b)² + (a - b)² = 2(a² + b²)

Substitute a = 12xy and b = 3y

= 2 ( 144x²y² + 9y²) = 288x²y² +18y² = R.H.S

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

---

NCERT Exemplar Class 8 Maths Chapter 7 Sample Problem 15

Verify that (11pq + 4q)² - (11pq - 4q)² = 176pq²

Summary:

The given equation (11pq + 4q)² - (11pq - 4q)² = 176pq² is verified and the equation holds good

---

☛ Related Questions:

• The area of a rectangle is x² + 12xy + 27y² and its length is (x + 9y). Find the breadth of the rect . . . .
• Divide 15 (y + 3) (y² – 16) by 5 (y² – y – 12)
• By using the suitable identities evaluate x² + 1/x² , If x + (1/x) = 5