Question

Simplify the following expression.(2x– 3) (5x^4+– 7x^3 + 6x2 - 9)5.74 - + –10.75 + 29.24 – 33.13 + 1812 + 18 – 2710.25 – 29.24 + 33r31872 – 18 + 2710,5 – 14 – 9.23 - 1812 – 18 - 2710.25 + 14 + 33r3 + 1812 + 181 + 27Submit

Answer 1

We want to simplify the following expression

`(2x-3)(5x^4-7x^3+6x^2-9)`

To simplify this expression, we just need to use the distributive property of multiplication.

`(a+b)(c+d)=ac+ad+bc+bd`

Using this property in our expression, we have

`\begin{gathered} (2x-3)(5x^4-7x^3+6x^2-9) \\ =2x\cdot5x^4-2x\cdot7x^3+2x\cdot6x^2+2x\cdot(-9)-3\cdot5x^4-3\cdot(-7x^3)-3\cdot6x^2-3\cdot(-9) \\ =10x^5-14x^4+12x^3-18x-15x^4+21x^3-18x^2+27 \\ =10x^5-29x^4+33x^3-18x^2-18x+27 \end{gathered}`