What is 4(2x+3y)+2(5y+3x) ?

The solution to 4(2x+3y)+2(5y+3x) is 14x+22y

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simplify 4(2x+3y)+2(5y+3x)

simplify

4 (2 x + 3 y) + 2 (5 y + 3 x)

14 x + 22 y

Solution steps

4 (2 x + 3 y) + 2 (5 y + 3 x)

Expand

4 (2 x + 3 y) : 8 x + 12 y

= 8 x + 12 y + 2 (5 y + 3 x)

Expand

2 (5 y + 3 x) : 10 y + 6 x

= 8 x + 12 y + 10 y + 6 x

Add similar elements:

12 y + 10 y = 22 y

= 8 x + 22 y + 6 x

Group like terms

= 8 x + 6 x + 22 y

Add similar elements:

8 x + 6 x = 14 x

= 14 x + 22 y

(7 x^{2} y - \frac{3}{2} z) (7 x^{2} y + \frac{3}{2} z)

\frac{q ^{2} + 8 q + 14}{q ^{2} + 6 q + 8} - \frac{1}{q + 2} - 1

\frac{2}{3} + \frac{1}{4} \times \frac{2}{5} - \frac{3}{4} + \frac{5}{2}

\frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2}}

\frac{7}{12} \div \frac{2}{9}