Question

6. Simplify:
(i) 2p8 - 3p² + 4p - 5 - 6p3 + 2p- 8p - 2 +6p + 8
(ii) 2x2 - xy + 6x - 4y + 5xy - 4x + 6x2 + 3y
(iii) x4 - 6x + 2x - 7 + 7x 3 - X +5x2 + 2 - x4​

Answer 1

$\large {\underline {\underline \mathsf {Solve : - }}}$

$i)2 {p}^{8} - 3{p}^{2} + 4p - 5 - 6 {p}^{3} + 2p - 8p - 2 + 6p + 8$

= 2p^8 - 3p^2+ 4p- 6p^3 + 2p- 8p+ 6p - 5- 2+ 8

= 1 p^ 8- 2 - 6p^3 + 4p + 2p - 8p- + 6p - 5- 2+ 8

= 1p^ 6 - 6p^ 3 + 4p + 2p -8p + 6p - 5 - 2 + 8

= 5p^ 6 - 3+ 4p + 8

= 5p^ 3+ 4p + 8

ii) 2 x^2 - 6x + 4y + 5xy - 4x + 6x^2 + 3y

= 2x^ 2 + 6x^ xy + 5xy + 6x - 4x + 4y + 3y

= 8x^ 4 × 4xu + 2x + 7y

iii) ^ 4- 6x + 2x - 7 + 7x^ 3v- x + 5 x^ 2 + 2- x^ 4

= x ^ 4 +7x^3 +5x^2 - x ^4 -6x + 2x - x + 7 + 2

= 8x ^ 4- 3+ 5x ^ 2- x ^ 4 - 9x + 9

=8x + 5x ^ 2 - x^4 - 9x + 9

= 4x ^ 2- 4 + 8x - 9x + 9

= 4x ^ 2 + x + 9