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Factorise the following expression. 49y2 + 84yz + 36z2

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Question

Factorise the following expression.

49y2 + 84yz + 36z2

Sum
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Solution

49y2 + 84yz + 36z2 

On writing it as follows:

(7y)2 + 2 × 7y × 6z + (6z)2

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

= (7y + 6z)2 

= (7y + 6z) (7y + 6z)

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