What is (7m-4)(2m-3)+(2-9m) ?

The solution to (7m-4)(2m-3)+(2-9m) is 14m^2-38m+14

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simplify (7m-4)(2m-3)+(2-9m)

simplify

(7 m - 4) (2 m - 3) + (2 - 9 m)

14 m^{2} - 38 m + 14

Solution steps

(7 m - 4) (2 m - 3) + (2 - 9 m)

Apply rule:

a + (b + c) = a + b + c

(7 m - 4) (2 m - 3) + (2 - 9 m) = (7 m - 4) (2 m - 3) + 2 - 9 m

= (7 m - 4) (2 m - 3) + 2 - 9 m

Expand

(7 m - 4) (2 m - 3) : 14 m^{2} - 29 m + 12

= 14 m^{2} - 29 m + 12 + 2 - 9 m

Group like terms

= 14 m^{2} - 29 m - 9 m + 12 + 2

Add similar elements:

- 29 m - 9 m = - 38 m

= 14 m^{2} - 38 m + 12 + 2

Add the numbers:

12 + 2 = 14

= 14 m^{2} - 38 m + 14

(2 + 3 i) (- 2 + 6 i)

\frac{2}{5} \cdot \frac{10}{8}

1 + 49 m^{2} - 14 m

\frac{1}{x} - \frac{1}{5}

- 4 + 6 (- 4 x + 3)

What is (7m-4)(2m-3)+(2-9m) ?
The solution to (7m-4)(2m-3)+(2-9m) is 14m^2-38m+14