Question

(2x²+3xy+9x³+3y²)×(4x²+2xy+3x+y)=

Answer 1

2x²(4x²+2xy+3x+y)+3xy(4x²+2xy+3x+y)+9x³(4x²+2xy+3x+y)+3y²(4x²+2xy+3x+y)
8x4+4x³y+6x³+2x²y+12x³y+6x²y²+9x²y+36x5+18x4y+27x4+9xy³+12x²y²+6xy³+9xy²+3y³
35x4+16x³y+6x³+11x²y+6x²y²+36x5+18x4y+21xy³+4xy²+3y³

Answer 2

(2x²+3xy+9x³+3y²)×(4x²+2xy+3x+y)
=2x²(4x²+2xy+3x+y)+3xy(4x²+2xy+3x+y)+9x²(4x²+2xy+3x+y)+3y²(4x²+2xy+3x+y)
=8x⁴+4x³y+6x³+2x²y+12x³y+6x²y²+9x³y+3xy²+36x⁴+18x³y+27x³+9x²y+12x²y²+6xy³+9xy²+3y³
=44x⁴+45x³y+33x³+11x²y+18x²y²+12xy²+3y³+6xy³(ans)