Answer:
[tex]2x^{4}-3x^{3}-6x^{2}+36 x -35[/tex]
Step-by-step explanation:
we need to apply the distributive property
we have
[tex](x^{2}- 3x+5)*(2x^{2} +3x-7)[/tex]
so we have
[tex]x^{2} * 2x^{2} +x^{2}*3x-x^{2} *7-3x*2x^{2} -3x*3x*+3x*7+5*2x^{2} +5*3x-5*7[/tex]
we know:
[tex]x^{2} *x^{2}[/tex]=[tex]x^{4}[/tex]
x*x=[tex]x^{2}[/tex]
[tex]x^{2}*x= x^{3}[/tex]
so we have
[tex]2x^{4}+3x^{3} -7x^{2} -6x^{3} -9x^{2} +21x+10x^{2} +15x-35[/tex]
[tex]2 x^{4}-3x^{3}-6x^{2}+36x-35[/tex]
