Question

directions: simplify the following polynomials. answers must be in standard form.

1. ( a(4a + 3) )
2. ( -c(11c + 4) )
3. ( x(2x - 5) )
4. ( 2y^2(y^5 - 4y) )
5. ( -3mn(m^2n^3 + 2mn) )
6. ( 9p^3q^4(3p^3 - 5q) )
7. ( 3r^4(5r^2 - r + 4) )
8. ( 7c(c^3 - 2c^2 + 5) )
9. ( -3n^2(-2n^3 + 7n + 4n) )
10. ( w^3(3w^2 + 2w) + 5w^4 )
11. ( z(5z - 3) - 2z )
12. ( y^2(-4y + 5) - 6y^2 )
13. ( 2x(3x^2 + 4) - 3x^2 )
14. ( 4a(5a^2 - 4) + 9a )
15. ( -2(4v^2 + 5v) + v(v^2 + 6v) )
16. ( 4b(5b - 3) - 2(b^2 - 7b - 4) )
17. ( 4n(3n^2 + n - 4) - n(3 - n) )
18. ( 3m(3m + 6) - 3(m^2 + 4m + 1) )
19. ( 2(4k^2 - 2k) - 3(-6k^2 + 4) + 2k(k - 1) )
20. write an expression in simplest form to represent the area of the shaded region.

( 3x + 2 )
( 2x )
( 3x )
( 4x )

Explanation:

Answer:

1. $4a^2 + 3a$
2. $-11c^2 - 4c$
3. $2x^2 - 5x$
4. $2y^7 - 8y^3$
5. $-3m^3n^4 - 6m^2n^2$
6. $27p^6q^4 - 45p^3q^5$
7. $15r^6 - 3r^5 + 12r^4$
8. $7c^4 - 14c^3 + 35c$
9. $6n^5 - 33n^3$
10. $8w^4 + 2w^3$
11. $5z^2 - 5z$
12. $-4y^3 - y^2$
13. $6x^3 - 3x^2 + 8x$
14. $20a^3 - 7a$
15. $v^3 - 2v^2 - 10v$
16. $18b^2 + 2b + 8$
17. $12n^3 + 5n^2 - 19n$
18. $6m^2 + 6m - 3$
19. $28k^2 - 6k - 12$
20. $6x^2 + 8x$