Question

factorise it:-. 64x²y²-48xyz +9z²​

Answer 1

Answer:

(8xy-3z)²

Step-by-step explanation:

64x²y²-48xyz +9z²

Let xy = a

Then equation can be written as

64a²-48az+9z²

64a²-24az-24az+9z²

8a(8a-3z)-3z(8a-3z)

(8a-3z)(8a-3z)

(8a-3z)² = (8xy-3z)²

Alternative method

It is in the form of (a-b)² = a²-2ab+b²

where a=8xy, b = 3z

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