Question

50 (2x + 1)² - 18(1-x)²

Answer 1

`50((2x)^(2) + 2 * 2x * 1 + (1)^(2) - 18((1)^(2) - 2 * 1 * x + (x)^(2)`

`50(4x^(2) + 4x + 1) - 18(1 - 2x + x^(2))`

`(200x^(2) + 200x + 50) - (18 + 36x - 18 {x}^(2)`

`182 {x}^(2) + 236x + 32`

Answer 2

Answer: 2 • (13x - y) • (7x + 11y)

Explanation:

(50 • ((2x + y)2)) - 18 • (x - 2y)2

STEP

2

:

Equation at the end of step 2

50 • (2x + y)2 - 18 • (x - 2y)2

STEP

3

:

3.1 Evaluate : (2x+y)2 = 4x2+4xy+y2

3.2 Evaluate : (x-2y)2 = x2-4xy+4y2

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

182x2 + 272xy - 22y2 = 2 • (91x2 + 136xy - 11y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 91x2 + 136xy - 11y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (13x - y)•(7x + 11y)

Final result :

2 • (13x - y) • (7x + 11y)