Question

1. (-3x la puterea a 3 a) la puterea a 2 a = ?
(-2x la puterea a 5 a) la puterea a 3 a = ?

2. E(x) = 4x la puterea a 2 a - (3x-2) - 2x (3x la puterea a 2 a - 4x) - 4 (2x-3) - 5x la puterea a 3 a + 3x = ?

Answer 1

Ex. 1

$( { - 3x}^{3} )^{2 } = { - 3x}^{6} = | {3x}^{6} | = {3x}^{6}$

$( { - 2x}^{5} )^{3} = { - 2x}^{15}$

Ex. 2

${4x}^{2} - (3x - 2) - 2x( {3x}^{2} - 4x) \\ - 4(2x - 3) - {5x}^{3} + 3x$

=

${4x}^{2} - 3x + 2 - {6x}^{2} + 8 \times {x}^{2} \\ - 8x + 12 - {5x}^{3} + 3x$

=

16x^2 -3x+2-36x^2 +8x^2 -8x+12-(5x) ^3 +3x = -12x^2 +22-8x-5x^3

Raspuns :

$12{ x}^{2} + 22 - 8x - {(5x)}^{3}$