What is 4(x-2y)-(2x-9y) ?

The solution to 4(x-2y)-(2x-9y) is 2x+y

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simplify 4(x-2y)-(2x-9y)

simplify

4 (x - 2 y) - (2 x - 9 y)

2 x + y

Solution steps

4 (x - 2 y) - (2 x - 9 y)

Apply the distributive law:

- (a - b) = - a + b

- (2 x - 9 y) = - 2 x + 9 y

= 4 (x - 2 y) - 2 x + 9 y

Expand

4 (x - 2 y) : 4 x - 8 y

= 4 x - 8 y - 2 x + 9 y

Group like terms

= 4 x - 2 x - 8 y + 9 y

Add similar elements:

4 x - 2 x = 2 x

= 2 x - 8 y + 9 y

Add similar elements:

- 8 y + 9 y = y

= 2 x + y

6 \cdot 12

\frac{3}{10} \div \frac{2}{7}

6 \cdot \frac{1}{9}

25 + 45 x

\frac{11}{16} \cdot \frac{3}{4}