a)\(5x^2.\left(10x^4-5x^3+2\right)=50x^6-25x^5+10x^2\)
b) \(\left(x^2-5x+3\right).\left(-5x\right)=-5x^3+25x^2-15x\)
c) \(\left(5x-2y\right)\left(x^2-xy+1\right)=5x^3-5x^2y+5x-2x^2y+2xy^2-2y\\ =5x^3-7x^2y+2xy^2+5x-2y\)
d) \(\left(3x-2\right)\left(9x^2+6x-4\right)\\ =27x^3+18x^2-12x-18x^2-12x+8=27x^3+8\)
a) \(5x^2\left(10x^4-5x^3+2\right)=50x^6-25x^5+10x^2\)
b) \(\left(x^2-5x+3\right)\left(-5x\right)=-5x^3+25x^2-15x\)
c) \(\left(5x-2y\right)\left(x^2-xy+1\right)=5x^3-5x^2y+5x-2x^2y+2xy^2-2y=5x^3-7x^2y+2xy^2+5x-2y\)
d) \(\left(3x-2\right)\left(9x^2+6x-4\right)=27x^3+18x^2-12x-18x^2-12x+8=27x^3-24x+8\)
a: \(5x^2\left(10x^4-5x^3+2\right)=50x^6-25x^5+10x^2\)
b: \(\left(-5x\right)\left(x^2-5x+3\right)=-5x^3+25x^2-15x\)
c: \(\left(5x-2y\right)\left(x^2-xy+1\right)\)
\(=5x^3-5x^2y+5x-2x^2y+2xy^2-2y\)
\(=5x^3-7x^2y+2xy^2+3y\)
d: \(\left(3x-2\right)\left(9x^2+6x-4\right)\)
\(=27x^3+18x^2-12x-18x^2-12x+8\)
\(=27x^3-24x+8\)