Question 3

Simplify the following expressions by collecting like terms. These expressions include positive and negative terms as well as terms in \(x^2\).

(a) \( x^2 + 5x + 3 - 7x + 4\) (b) \( 10x - 2x^2 + 4x + 3x^2 - 7\)
(c) \( 3x^2 - 8x + 5x^2 + 3x\) (d) \( 5a^2 - 3x + 4a - 3a^2 + 2x - x^2\)
(e) \( 8 + 7x - 5 - 2x^2 - 3x + 5x^2\) (f) \( 8x^2 - 3 + 10x - 4x^2 + 7 + 2x\)
(g) \( 9 - 3x^2 + 8x + 4x^2 - 12x - 6\) (h) \( 5x - 4 + 6x^2 - 7 - 8x + 3 - 3x^2\)
(i) \( 2x - 7x^2 + 9x + 3 - 5x + 9x^2\) (j) \( 4y - 6x + 3y^2 - 5y + 2x^2 - 8y^2 - 7\)
(k) \( 3 - 5x + 2 - 4x + 6x^2 - 8 - 3x + 2x^2\) (l) \( 3a - 5b + 6a^2 - 8b + 5a^2 - 7a\)