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Question
Simplify and find the degree of the following expression.
4x2 – 3x – [8x – (5x2 – 8)]
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Solution
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.
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