Simplify (2x-3) (3x-5) (2x − 3) (3x − 5) ( 2 x - 3) ( 3 x - 5) Expand (2x−3)(3x− 5) ( 2 x - 3) ( 3 x - 5) using the FOIL Method. Tap for more steps 2x(3x)+2x⋅−5−3(3x)− 3⋅−5 2 x ( 3 x) + 2 x ⋅ - 5 - 3 ( 3 x) - 3 ⋅ - 5. Simplify and combine like terms. Tap for more steps 6x2 − 19x+15 6 x 2 - 19 x + 15. Free math
To summarize, we have developed three very useful rules of exponents that are used extensively in algebra. If given positive integers m and n, then. Product rule: xm ⋅ xn = xm + n. Quotient rule: xm xn = xm − n, x ≠ 0. Power rule: (xm)n = xm ⋅ n.
A closed interval notation is a way of representing a set of numbers that includes all the numbers in the interval between two given numbers. In this notation, the numbers at the endpoints of the interval are included in the set. The notation for a closed interval is typically of the form [a,b], where a and b are the endpoints of the interval.
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x = −1 , y = 0 and z = 1 Explanation: −4x+ 4y+5z − 5⋅(−2x+2y+ z) = 9−5⋅ 3 6x−6y = −6 How do you solve the simultaneous equations 2x+ 3y = −3 and 3x−2y = 28 ? I found: x = 6 y = −5 Explanation: You could multiply the first equation by 2 and the second by 3 getting: {4x+6y = −6 $$x-3\ge5 \quad\lor\quad x-3\le-5 \\ x\ge8 \quad\lor\quad x\le-2$$ Krok 2. Wybór właściwego rysunku. Rozwiązaniem tej nierówności są więc wszystkie liczby mniejsze lub równe \(-2\) lub większe lub równe \(8\), a takie przedziały zostały zaznaczone na pierwszym rysunku. a=1, b=-3, c=1: 2(x 2 - 2x) = 5: 2x 2 - 4x - 5 = 0: a=2, b=-4, c=-5: x(x-1) = 3: x 2 - x - 3 = 0: a=1, b=-1, c=-3: 5 + 1/x - 1/x 2 = 0: 5x 2 + x - 1 = 0: a=5, b=1, c=-1: How Does this Work? The solution(s) to a quadratic equation can be calculated using the Quadratic Formula: UHKQ. 317 144 384 85 217 150 191 440 84

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