Question

simplify question c and e​

Answer 1

☆ Question :-

Simplify each of the following :

c) ( u² + 3u + 1 ) ( u³ - u² + u )

e) (5x + 9y) (6x - 17y ) - (2x + 3y +3) ( 10x - 19 )

☆ solution :-

c) ( u² + 3u + 1 ) ( u³ - u² + u )

⟹ u⁵ - u⁴ + u³ + 3u⁴ -3u³ + 3u² + u³ - u² + u

⟹ u⁵ +2u⁴ - u³ + 2u² + u

______________________

e) (5x + 9y) (6x - 17y ) - (2x + 3y +3) ( 10x - 19 )

Let's simplify these two terms separately ,

(5x + 9y) (6x - 17y) = 30x² - 85xy + 54xy - 153y² ----(1)

(2x + 3y +3) ( 10x - 19 ) = 20x² - 38x+ 30xy - 57y+ 30x-57

= 20x² - 8x - 57y + 30xy - 57 ---(2)

Now subtract (1) - (2) ,

30x² - 85xy + 54xy - 153y² - (20x² - 8x - 57y + 30xy - 57)

30x² - 85xy + 54xy - 153y² - 20x² + 8x + 57y - 30xy + 57

= 10x² -61 xy - 153y² + 8x + 57y +57

______________________

☆ How to solve :-

When bases are same the powers get added up. Group similar terms so that the multiple terms of the same variables gets simplified easily !

Answer 2

Answer:

here is the answer ❤️❤️☺️☺️

☆ Question :-

Simplify each of the following :

c) ( u² + 3u + 1 ) ( u³ - u² + u )

e) (5x + 9y) (6x - 17y ) - (2x + 3y +3) ( 10x - 19 )

☆ solution :-

c) ( u² + 3u + 1 ) ( u³ - u² + u )

⟹ u⁵ - u⁴ + u³ + 3u⁴ -3u³ + 3u² + u³ - u² + u

⟹ u⁵ +2u⁴ - u³ + 2u² + u

______________________

e) (5x + 9y) (6x - 17y ) - (2x + 3y +3) ( 10x - 19 )

Let's simplify these two terms separately ,

(5x + 9y) (6x - 17y) = 30x² - 85xy + 54xy - 153y² ----(1)

(2x + 3y +3) ( 10x - 19 ) = 20x² - 38x+ 30xy - 57y+ 30x-57

= 20x² - 8x - 57y + 30xy - 57 ---(2)

Now subtract (1) - (2) ,

30x² - 85xy + 54xy - 153y² - (20x² - 8x - 57y + 30xy - 57)

30x² - 85xy + 54xy - 153y² - 20x² + 8x + 57y - 30xy + 57

= 10x² -61 xy - 153y² + 8x + 57y +57

______________________

☆ How to solve :-

When bases are same the powers get added up. Group similar terms so that the multiple terms of the same variables gets simplified easily !