Question

(5m²-25m+20)divided by (m-1)​

Answer 1

Answer:

Stepby-step explanation(2m + 1)(2m + 1) = 4m + 2

Simplifying

(2m + 1)(2m + 1) = 4m + 2

Reorder the terms:

(1 + 2m)(2m + 1) = 4m + 2

Reorder the terms:

(1 + 2m)(1 + 2m) = 4m + 2

Multiply (1 + 2m) * (1 + 2m)

(1(1 + 2m) + 2m * (1 + 2m)) = 4m + 2

((1 * 1 + 2m * 1) + 2m * (1 + 2m)) = 4m + 2

((1 + 2m) + 2m * (1 + 2m)) = 4m + 2

(1 + 2m + (1 * 2m + 2m * 2m)) = 4m + 2

(1 + 2m + (2m + 4m2)) = 4m + 2

Combine like terms: 2m + 2m = 4m

(1 + 4m + 4m2) = 4m + 2

Reorder the terms:

1 + 4m + 4m2 = 2 + 4m

Add '-4m' to each side of the equation.

1 + 4m + -4m + 4m2 = 2 + 4m + -4m

Combine like terms: 4m + -4m = 0

1 + 0 + 4m2 = 2 + 4m + -4m

1 + 4m2 = 2 + 4m + -4m

Combine like terms: 4m + -4m = 0

1 + 4m2 = 2 + 0

1 + 4m2 = 2

Solving

1 + 4m2 = 2

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + 4m2 = 2 + -1

Combine like terms: 1 + -1 = 0

0 + 4m2 = 2 + -1

4m2 = 2 + -1

Combine like terms: 2 + -1 = 1

4m2 = 1

Divide each side by '4'.

m2 = 0.25

Simplifying

m2 = 0.25

Reorder the terms:

-0.25 + m2 = 0.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00

-0.25 + m2 = 0.00

Factor a difference between two squares.

(0.5 + m)(-0.5 + m) = 0.00