Question

Question 2 of 5 Write an equivalent expression in standard form for the following expression ( 42 – 3) (52? + 62 9) – 23(-+ 40 +6 + 14x ) Your answer: O ( () 1 1 7 8. 9

Answer 1

`\begin{gathered} (4x-3)(5x^2+6x-9)-2x(-(x^2)/(2)+(11)/(2)x+6) \\ 2x(-(x^2)/(2)+(11)/(2)x+6)=-x^3+11x^2+12x \\ (4x-3)(5x^2+6x-9)=20x^3+24x^2-36x-15x^2-18x+27 \\ (4x-3)(5x^2+6x-9)=20x^3+9x^2-54x+27 \\ 20x^3+9x^2-54x+27-(-x^3+11x^2+12x) \\ 20x^3+9x^2-54x+27+x^3-11x^2-12x \\ (20x^3+x^3)+(9x^2-11x^2)+(-54x-12x)+27 \\ 21x^3-2x^2-66x+27 \\ (4x-3)(5x^2+6x-9)-2x(-(x^2)/(2)+(11)/(2)x+6)=21x^3-2x^2-66x+27 \\ \\ \text{The standard form is }21x^3-2x^2-66x+27 \end{gathered}`