Q3 of 65 Page 137

Let us factorise the following algebraic expressions:

9p2 – 24pq + 16q2 + 3ap – 4aq

Given, 9p2 – 24pq + 16q2 + 3ap – 4aq


⇒ (3p)2 – 24pq + (4q)2 + 3ap – 4aq


⇒ (3p)2 – 2(3p)(4q) + (4q)2 + 3ap – 4aq


[from Identity I, (x – y)2 = x2 – 2xy + y2]


⇒ (3p – 4q)2 + a(3p – 4q)


⇒ (3p – 4q)[(3p – 4q) + a]


⇒ (3p – 4q)(a + (3p – 4q))


More from this chapter

All 65 →
1

Let us factorise the following algebraic expressions:

2

Let us factorise the following algebraic expressions:

 4

Let us factorise the following algebraic expressions:

4x4 + 81

 5

Let us factorise the following algebraic expressions:

x4 – 7x2 + 1