x4 + 9x2y2 + 81y4
x4 + 9x2y2 + 81y4
Above terms can be written as,
x4 + 18x2y2 + 81y4 – 9x2y2
((x2)2 + (2 × x2 × 9y2) + (9y2)2) – 9x2y2
We know that, (a + b)2 = a2 + 2ab + b2
(x2 + 9y2)2 – (3xy)2
(x2 + 9y2 + 3xy) (x2 + 9y2 – 3xy)
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x4 + 9x2y2 + 81y4
Above terms can be written as,
x4 + 18x2y2 + 81y4 – 9x2y2
((x2)2 + (2 × x2 × 9y2) + (9y2)2) – 9x2y2
We know that, (a + b)2 = a2 + 2ab + b2
(x2 + 9y2)2 – (3xy)2
(x2 + 9y2 + 3xy) (x2 + 9y2 – 3xy)