What is (5xy+7z+12x)+(6x-8z+4xy)-(3z-15xy) ?

The solution to (5xy+7z+12x)+(6x-8z+4xy)-(3z-15xy) is -4z+24xy+18x

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simplify (5xy+7z+12x)+(6x-8z+4xy)-(3z-15xy)

simplify

(5 x y + 7 z + 12 x) + (6 x - 8 z + 4 x y) - (3 z - 15 x y)

- 4 z + 24 x y + 18 x

Solution steps

(5 x y + 7 z + 12 x) + (6 x - 8 z + 4 x y) - (3 z - 15 x y)

Simplify

(5 x y + 7 z + 12 x) + (6 x - 8 z + 4 x y) - (3 z - 15 x y) : 5 x y + 7 z + 12 x + 6 x - 8 z + 4 x y - (3 z - 15 x y)

= 5 x y + 7 z + 12 x + 6 x - 8 z + 4 x y - (3 z - 15 x y)

Add similar elements:

12 x + 6 x = 18 x

= 5 x y + 7 z + 18 x - 8 z + 4 x y - (3 z - 15 x y)

Group like terms

= - (3 z - 15 x y) + 5 x y + 4 x y + 18 x + 7 z - 8 z

Add similar elements:

5 x y + 4 x y = 9 x y

= - (3 z - 15 x y) + 9 x y + 18 x + 7 z - 8 z

Add similar elements:

7 z - 8 z = - z

= - (3 z - 15 x y) + 9 x y + 18 x - z

Apply the distributive law:

- (a - b) = - a + b

- (3 z - 15 x y) = - 3 z + 15 x y

= - 3 z + 15 x y + 9 x y + 18 x - z

Add similar elements:

15 x y + 9 x y = 24 x y

= - 3 z + 24 x y + 18 x - z

Group like terms

= - 3 z - z + 24 x y + 18 x

Add similar elements:

- 3 z - z = - 4 z

= - 4 z + 24 x y + 18 x

(a + b) (x + y)

1.5 \times 2

\frac{4}{7 - 5}

15 x + 25

\frac{12}{x ^{2} + x - 6} + \frac{4}{x - 2}

What is (5xy+7z+12x)+(6x-8z+4xy)-(3z-15xy) ?
The solution to (5xy+7z+12x)+(6x-8z+4xy)-(3z-15xy) is -4z+24xy+18x