What is 3/5 (x-7)(x-y)+1/2 x(y-1) ?

The solution to 3/5 (x-7)(x-y)+1/2 x(y-1) is (6x^2-xy-47x+42y)/(10)

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simplify 3/5 (x-7)(x-y)+1/2 x(y-1)

simplify

\frac{3}{5} (x - 7) (x - y) + \frac{1}{2} x (y - 1)

\frac{6 x ^{2} - x y - 47 x + 42 y}{10}

Solution steps

\frac{3}{5} (x - 7) (x - y) + \frac{1}{2} x (y - 1)

\frac{1}{2} x (y - 1) = \frac{x}{2} (y - 1)

= \frac{3}{5} (x - 7) (x - y) + \frac{x}{2} (y - 1)

Multiply

(y - 1) \frac{x}{2} : \frac{x ( y - 1 )}{2}

= \frac{3}{5} (x - 7) (x - y) + \frac{x ( y - 1 )}{2}

Multiply

\frac{3}{5} (x - 7) (x - y) : \frac{3 ( x - 7 ) ( x - y )}{5}

= \frac{3 ( x - 7 ) ( x - y )}{5} + \frac{x ( y - 1 )}{2}

Least Common Multiplier of

5, 2 : 10

Adjust Fractions based on the LCM

= \frac{6 ( x - 7 ) ( x - y )}{10} + \frac{x ( y - 1 ) \cdot 5}{10}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{6 ( x - 7 ) ( x - y ) + x ( y - 1 ) \cdot 5}{10}

Expand

6 (x - 7) (x - y) + x (y - 1) \cdot 5 : 6 x^{2} - x y - 47 x + 42 y

= \frac{6 x ^{2} - x y - 47 x + 42 y}{10}

5 p (7 p + 8) = 0

- 5

- \frac{1}{2} \cdot 0 + 3

8 n^{2} = 14

5 x^{2} + 9 x - 4 = 0

What is 3/5 (x-7)(x-y)+1/2 x(y-1) ?
The solution to 3/5 (x-7)(x-y)+1/2 x(y-1) is (6x^2-xy-47x+42y)/(10)