Expand the brackets (2x + 3)(3x - 1)

Use the crab claw method to expand the bracket. Draw two lines above the equation from the 2X, one to the 3X and one to the -1. Draw another two lines below the equation from the +3, one to the 3X and one to the -1. Now multiply the parts that are linked: 2X x 3X = 6X², 2X x -1 = -2X, 3 x 3X = 9X, 3 x -1 = -3. Now add them together: 6X2 - 2X + 9X - 3 which simplifies to 6X² + 7X - 3