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\left(14200x^{2}+9088y^{2}\right)\left(5x-4y\right)\left(5x+4y\right)
Use the distributive property to multiply 568 by 25x^{2}+16y^{2}.
\left(71000x^{3}-56800x^{2}y+45440y^{2}x-36352y^{3}\right)\left(5x+4y\right)
Use the distributive property to multiply 14200x^{2}+9088y^{2} by 5x-4y.
355000x^{4}-145408y^{4}
Use the distributive property to multiply 71000x^{3}-56800x^{2}y+45440y^{2}x-36352y^{3} by 5x+4y and combine like terms.
\left(14200x^{2}+9088y^{2}\right)\left(5x-4y\right)\left(5x+4y\right)
Use the distributive property to multiply 568 by 25x^{2}+16y^{2}.
\left(71000x^{3}-56800x^{2}y+45440y^{2}x-36352y^{3}\right)\left(5x+4y\right)
Use the distributive property to multiply 14200x^{2}+9088y^{2} by 5x-4y.
355000x^{4}-145408y^{4}
Use the distributive property to multiply 71000x^{3}-56800x^{2}y+45440y^{2}x-36352y^{3} by 5x+4y and combine like terms.