Question

(x2 + 4y2 – 922)2 - 16x2y2​

Answer 1

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=> (x^2+4y^2-9z^2)^2-16x^2y^2

=> (x^2+4y^2-9z^2)^2-(4xy)^2

=> (x^2+4y^2-9x^2-4xy) (x^2+4y^2-9z^2+4xy)

=> (x^2+4y^2-4xy-9z^2)(x^2+4y^2+4xy-9z^2)

=> [(x-2y)^2-(3z)^2] [(X+2y)^2-(3z)^2]

=> [(x-2y)-3z][(x-2y)+3z][(X+2y)-3z][(X+2y)+3z]

=> [x-2y-3z][x-2y+3z][X+2y-3z][X+2y+3z]

Answer 2

Step-by-step explanation:

=> (x^2+4y^2-9z^2)^2-16x^2y^2

=> (x^2+4y^2-9z^2)^2-(4xy)^2

=> (x^2+4y^2-9x^2-4xy) (x^2+4y^2-9z^2+4xy)

=> (x^2+4y^2-4xy-9z^2)(x^2+4y^2+4xy-9z^2)

=> [(x-2y)^2-(3z)^2] [(X+2y)^2-(3z)^2]

=> [(x-2y)-3z][(x-2y)+3z][(X+2y)-3z][(X+2y)+3z]

=> [x-2y-3z][x-2y+3z][X+2y-3z][X+2y+3z]