(1) Factorize: (a) 2mn + m² - 6n - 3m (b) 4y² - 8l (c) t² - 6t + 8

(2) 3 ÷ (m + 4) - 4 ÷ m = 6
(a) Show that this equation can be written as:
6m² + 25m + 16 = 0.
(b) Solve the equation: 6m² + 25m + 16 = 0.
Show all your working and give your answer correct to 2 decimal places.

ANSWERS: (2) b m = -0.79 or -3-38.

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0

Margaret is purchasing a house for $210,000 with a 15 year fixed rate mortgage at 4.75% interest she has made a 5% down payment the house is valued at 205,000 and the local tax rate is 3.5% homeowners insurance 600 per year what are her total monthly payment