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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) | \( 3a - 5b + 6a^2 - 8b + 5a^2 - 7a\) |