Simplify: (-5-7x-5x+10)/(2x-4x-6)

Simplify Numerator: Simplify the numerator (-5 - 7x - 5x + 10). Combine like terms in the numerator. -5 - 7x - 5x + 10 = -5 - 12x + 10 Now, combine the constant terms. -5 + 10 = 5 So, the simplified numerator is -12x + 5.Simplify Denominator: Simplify the denominator (2x - 4x - 6). Combine like terms in the denominator. 2x - 4x - 6 = -2x - 6 The simplified denominator is -2x - 6.Divide Numerator by Denominator: Divide the simplified numerator by the simplified denominator. (-12x + 5) / (-2x - 6) We can factor out a -1 from the denominator to make it easier to divide. (-12x + 5) / -1(2x + 6) Now, divide each term in the numerator by -1. (-12x / -1) + (5 / -1) = 12x - 5 And the denominator is simply 2x + 6. So, the expression simplifies to (12x - 5) / (2x + 6).

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Algebra 2

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Q. Simplify:

\frac{-5-7x-5x+10}{2x-4x-6}

Simplify Numerator: Simplify the numerator $(-5 - 7x - 5x + 10)$ . Combine like terms in the numerator. $-5 - 7x - 5x + 10 = -5 - 12x + 10$ Now, combine the constant terms. $-5 + 10 = 5$ So, the simplified numerator is $-12x + 5$ .
Simplify Denominator: Simplify the denominator $2x - 4x - 6$ . Combine like terms in the denominator. $2x - 4x - 6 = -2x - 6$ The simplified denominator is $-2x - 6$ .
Divide Numerator by Denominator: Divide the simplified numerator by the simplified denominator. $\newline$ $(-12x + 5) / (-2x - 6)$ $\newline$ We can factor out a $-1$ from the denominator to make it easier to divide. $\newline$ $(-12x + 5) / -1(2x + 6)$ $\newline$ Now, divide each term in the numerator by $-1$ . $\newline$ $(-12x / -1) + (5 / -1) = 12x - 5$ $\newline$ And the denominator is simply $2x + 6$ . $\newline$ So, the expression simplifies to $(12x - 5) / (2x + 6)$ .