Question 336030
{{{(-5x^2+4y)(5x^2+5y+z)}}} Start with the given expression.



{{{-5x^2(5x^2+5y+z)+4y(5x^2+5y+z)}}} Expand.



{{{(-5x^2)(5x^2)+(-5x^2)(5y)+(-5x^2)(z)+(4y)(5x^2)+(4y)(5y)+(4y)(z)}}} Distribute.



{{{-25x^4-25x^2y-5x^2z+20x^2y+20y^2+4yz}}} Multiply.



{{{-25x^4-5x^2y-5x^2z+20y^2+4yz}}} Now combine like terms.



 So {{{(-5x^2+4y)(5x^2+5y+z)}}} expands to {{{-25x^4-5x^2y-5x^2z+20y^2+4yz}}}.



In other words, {{{(-5x^2+4y)(5x^2+5y+z)=-25x^4-5x^2y-5x^2z+20y^2+4yz}}}.



So the answer looks like it is D) (assuming you forgot the 'y')



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Jim