Answer:
1) 8x^2-10x-7
2) 30[tex]x^{9\\}[/tex]- 60[tex]x^{5}[/tex]
3) -10y^6 - 45y^5 + 25y^4
4) 30x^9 - 60x^5
5) 30x^9 - 60x^5
Step-by-step explanation:
1) (2x+1)(4x-7), we will multiply each term from the first parenthesis against every term in the second.
2x*4x = 8[tex]x^{2}[/tex], 2x*-7 = -14x
1(4x-7) = 4x-7.
8x^2-14x+4x-7 = 8x^2-10x-7
2) 10[tex]x^{5}[/tex](3x^4-6)
10x^5(3x^4) = 30x^9
10x^5(-6) = -60x^5
30[tex]x^{9\\}[/tex]-60[tex]x^{5}[/tex]
3) -5y^4(2y^2+9y-5)
-5y^4(2y^2) = -10y^6
-5y^4(9y) = -45y^5
-5y^4(-5) = 25y^4
-10y^6 - 45y^5 + 25y^4
4) 10x^5(3x^4 - 6)
10x^5(3x^4) = 30x^9
10x^5(-6) = -60x^5
30x^9 - 60x^5
5) (3y - 5z)(8y - 3z) =
3y*8y = 24y^2
3y*(-3z) = -9yz
-5z(8y) = -40yz
-5z(-3z) = 15z^2
24y^2 + 15z^2 - 49yz
