Answer:
Equivalent Expression is [tex]3x^4-2x^3-15x^2+14x[/tex]
Step-by-step explanation:
Given Expression,
[tex](x^2-2x)(3x^2+4x-7)[/tex]
To find: Equivalent expression.
To find: Equivalent expression we find product of given expressions.
Consider,
[tex](x^2-2x)(3x^2+4x-7)[/tex]
[tex]=x^2(3x^2+4x-7)-2x(3x^2+4x-7)[/tex]
[tex]=3x^4+4x^3-7x^2-6x^3-8x^2+14x[/tex]
[tex]=3x^4+4x^3-6x^3-7x^2-8x^2+14x[/tex]
[tex]=3x^4+(4-6)x^3-(7+8)x^2+14x[/tex]
[tex]=3x^4-2x^3-15x^2+14x[/tex]
Therefore, Equivalent Expression is [tex]3x^4-2x^3-15x^2+14x[/tex]
