x 4^{4} +y4^{4} -7x2^{2}y2^{2}

asked by guest
on Mar 18, 2025 at 6:27 am



You asked:

Evaluate the expression: x4+y4−7x2y2{x}^{4} + {y}^{4} - 7 {x}^{2} {y}^{2}

MathBot Answer:

Evaluated



x4+y4−7x2y2=x4−7x2y2+y4\displaystyle {x}^{4} + {y}^{4} - 7 {x}^{2} {y}^{2} = x^{4} - 7 x^{2} y^{2} + y^{4}

Factored

x4+y4−7x2y2=(x2−3xy+y2)(x2+3xy+y2){x}^{4} + {y}^{4} - 7 {x}^{2} {y}^{2} = \left(x^{2} - 3 x y + y^{2}\right) \left(x^{2} + 3 x y + y^{2}\right)

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