Question

75(x + y)2
– 48(x-y)2 factorize​

Answer 1

Answer:

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Step-by-step explanation:

75 (x + y)2 – 48(x – y)2

= 3[25(x + y)2 – 16(x – y)2]

= 3[{5(x + y)2} – {4(x – y)}2]

Using a2 – b2 = (a + b) (a – b)

= 3[5(x + y) + 4(x – y)] [5(x + y) – 4(x – y)]

= 3[5x + 5y + 4x – 4y] [5x + 5y – 4x + 4y]

= 3(9x + y) (x + 9y)