Question

Simplify and find the degree of the following expression.

4x² – 3x – [8x – (5x² – 8)]

Answer 1

4x² – 3x – [8x – (5x² – 8)]

= 4x² – 3x – [8x + – 5x² + 8)]

= 4x² – 3x – [8x – 5x² – 8]

= 4x² – 3x – 8x + 5x² – 8

= (4x² + 5x²) + (– 3x – 8x) – 8

= x²(4 + 5) + x(– 3 – 8) – 8

= x²(9) + x(–11) – 8

= 9x² – 11x – 8

Hence, the degree of the expression is 2.