Answer:
2[tex]x^3[/tex] - 7[tex]x^2[/tex] + 8x -3
Step-by-step explanation:
To multiply a binomial (2 terms) by a trinomial (3 terms):
Multiply the first term of the binomial by the each term of the trinomial.
Multiply the second term of the binomial by each term of the trinomial.
Combine the expressions and simplify.
(2x-3)*([tex]x^2[/tex]-2x+1)
(2x * [tex]x^2[/tex]) + (2x * -2x) + (2x * 1)
(2[tex]x^3[/tex]) + (-4[tex]x^2[/tex]) + (2x)
(2x-3) * ([tex]x^2[/tex]-2x+1)
(-3 * [tex]x^2[/tex]) + (-3 * -2x) + (-3 * 1)
(-3[tex]x^2[/tex]) + (6x) + (-3)
[2[tex]x^3[/tex] + -4[tex]x^2[/tex] + 2x] + [-3[tex]x^2[/tex] + 6x + -3]
2[tex]x^3[/tex] - 7[tex]x^2[/tex] + 8x -3
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