Q4 of 274 Page 72

Factorize:

9x2 + 16y2 + 4z2 –24xy + 16yz – 12xz

We know that,


(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2za


Using this formula, we get


= (-3x)2 + (4y)2 + (2z)2 + 2(-3x) (4y) + 2 (4y) (2z) + 2 (2z) (-3x)


= (-3x + 4y + 2z)2


More from this chapter

All 274 →
2

Expand

(i) (2a – 5b – 7c)2


(ii) (–3a + 4b – 5c)2


(iii)

3

Factorize:

4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz

 5

Factorize:

25x2 + 4y2 + 9z2 – 20xy – 12yz + 30xz

 6

Evaluate:

(i) (99)2


(ii) (998)2