exam Maths Puzzle Numerical Ability

Q. Without expanding the determinant prove that:

| x+y x x |
| 5x+4y 4x 2x | = x^3
| 10x+8y 8x 3x |

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exam Other Question

Find the equation of the line which is parallel to 3x - 2y = 6 and passes through the point (1,2). Consider the line y= -7x+8.

Find the equation of the line that is parallel to this line and passes through the point(5,9).
Find the equation of the line that is perpendicular to this line and passes through the point(5.9) .