Simplify the following expressions and explain the work behind the solution.

1. \((-7x^2 - 7x - 7) - [(7x^3 - 9x^2 - 20) + (4x - 11)]\)

2. \((5x^4 + 8x^2 + 2) + 7(5x^4 - 3x^2)\)

( − 7 x 2 − 7 x − 7 ) − [( 7 x 3 − 9 x 2 − 20 ) + ( 4 x − 11 )]] = = − 7 x 2 − 7 x − 7 − ( 7 x 3 − 9 x 2 − 20 + 4 x − 11 ) = = − 7 x 2 − 7 x − 7 − 7 x 3 + 9 x 2 + 20 − 4 x + 11 = − 7 x 3 + 2 x 2 − 11 x + 24 ( 5 x 4 + 8 x 2 + 2 ) + 7 ( 5 x 4 − 3 x 2 ) = 5 x 4 + 8 x 2 + 2 + 35 x 4 − 21 x 2 = = 39 x 4 − 13 x 2 + 2

Answered by kate200468 | 2024-06-10

The first expression simplifies to − 7 x 3 + 2 x 2 − 11 x + 24 , and the second expression simplifies to 40 x 4 − 13 x 2 + 2 .
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Answered by kate200468 | 2024-11-02