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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

Simplify The Following Expression2x 3 5x4 7x3 6x2 9574 1075 2924 3313 1812 18 271025 2924 33r31872 18 27105 14 923 1812 18 271025 14 33r3 1812 181 27Submit class=

Sagot :

We want to simplify the following expression

[tex](2x-3)(5x^4-7x^3+6x^2-9)[/tex]

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

[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

Using this property in our expression, we have

[tex]\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}[/tex]

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