Question

Simplify the expression:
(10x2 -1 + 4x) + (3 + 5x2 - 4x)

Answer 1

`\boxed{\sf 15x^2 + 2}`

Explanation:

Simplify the expression:

`\sf \implies(10 {x}^(2) - 1 + 4x) + (3 + 5 {x}^(2) - 4x)`

Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):

`\sf \implies (10 x^2 + 5 x^2) + (4 x - 4 x) + (-1 + 3)`

10x² + 5x² = 15x²:

`\sf \implies 15 x^2 + (4 x - 4 x) + (-1 + 3)`

3 - 1 = 2:

`\sf \implies 15 x^2 + (4 x - 4 x) + 2`

4 x - 4 x = 0:

`\sf \implies 15 x^2 + 2`