Question

Factorize:
2h + 7hk - 15​

Answer 1

Answer:

Solution for 2h^2+7hk-15k^2=0 equation:

Simplifying

2h2 + 7hk + -15k2 = 0

Reorder the terms:

7hk + 2h2 + -15k2 = 0

Solving

7hk + 2h2 + -15k2 = 0

Solving for variable 'h'.

Factor a trinomial.

(2h + -3k)(h + 5k) = 0

Subproblem 1

Set the factor '(2h + -3k)' equal to zero and attempt to solve:

Simplifying

2h + -3k = 0

Solving

2h + -3k = 0

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

Add '3k' to each side of the equation.

2h + -3k + 3k = 0 + 3k

Combine like terms: -3k + 3k = 0

2h + 0 = 0 + 3k

2h = 0 + 3k

Remove the zero:

2h = 3k

Divide each side by '2'.

h = 1.5k

Simplifying

h = 1.5k

Subproblem 2

Set the factor '(h + 5k)' equal to zero and attempt to solve:

Simplifying

h + 5k = 0

Solving

h + 5k = 0

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

Add '-5k' to each side of the equation.

h + 5k + -5k = 0 + -5k

Combine like terms: 5k + -5k = 0

h + 0 = 0 + -5k

h = 0 + -5k

Remove the zero:

h = -5k

Simplifying

h = -5k

Solution

h = {1.5k, -5k}

Answer 2

Answer:

(9-2h) (9+2h). (un ) (ut ) ... 6.1,6 5:15. (65-5t) (s +t) 2, 3. (ar+3) (2r+1) 3,2. 11. 2h2 + 7hk – 15k2. 2:1,2. Isilis ... We saw how to factor the difference of two perfect squares, but what happens if we are working.