Simplifying Polynomial Expressions
To simplify a polynomial expression, we can expand parentheses by multiplying the terms within with the coefficient outside of them and add like terms.
Solving the Question
[tex]3x(-2x + 7) - 5(x - 1)(4x - 3)[/tex]
⇒ Open up the parentheses
[tex]=(3x*(-2x) + 3x*7) - 5(x(4x - 3)-1(4x-3))\\=(-6x^2 + 21x) - 5(4x^2 - 3x-4x+3)\\=-6x^2 + 21x - 5(4x^2 - 7x+3)=-6x^2 + 21x - (20x^2 - 35x+15)\\=-6x^2 + 21x - 20x^2 + 35x-15\\=- 26x^2 + 56x-15[/tex]
Answer
[tex]- 26x^2 + 56x-15[/tex]
