Rille3idn
Answered

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8. divide 12x² – 3 by 2x + 1​

Sagot :

Answer:

6x - 3

Solution:

Factor 12x^2 - 3

[tex]\frac{3(2x-1)(2x+1)}{2x+1}[/tex]

Cancel out 2x + 1 in both numerator and denominator

[tex]3(2x-1)[/tex]

Expand the expression

[tex]6x - 3[/tex]

Therefore the answer is 6x - 3.

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Answer:

6x - 3

Step-by-step explanation:

Dividing 12x² - 3 by 2x + 1 using long division method.

[tex] \: \: \: \: \: \red{\tt{}6x - 3} \\ \tt{} 2x + 1 \: \overline{)12 {x}^{2} + 0x - 3 } \\ \tt{} \underline{12 {x}^{2} + 6x }\\ \tt{} \: \: \: \: \: \: \: \: \: \: \: - 6x\\ \tt{} \: \: \qquad \qquad\underline{ - 6x - 3}\\ \qquad \qquad \qquad \tt{}0 \\ \\ \\ \\ [/tex]

Check to verify:

[tex] \: \: \tt{}6x - 3\\ \tt{} \underline{ \times \: \: \: \: 2x + 1 \: \: }\\ \tt{ 6x - 3}\\ \tt{} \underline{ 12 {x}^{2} - 6x \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\\ \tt{}12 {x }^{2} \: \: \: \: \: \: \: \: \: \: \: - 3 \\ \\ \\ \\ [/tex]

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