Q5 of 274 Page 72

Factorize:

25x2 + 4y2 + 9z2 – 20xy – 12yz + 30xz

We know that,


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


Using this formula, we get


= (5x)2 + (-2y)2 + (3z)2 + 2(5x) (-2y) + 2 (-2y) (3z) + 2 (3z) (5x)


= (5x – 2y + 3z)2


More from this chapter

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3

Factorize:

4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz

 4

Factorize:

9x2 + 16y2 + 4z2 –24xy + 16yz – 12xz

 6

Evaluate:

(i) (99)2


(ii) (998)2

 1

Expand:

(i) (3x + 2)2


(ii) (3a – 2b)2


(iii)