Answer :
1. [tex](2cd^{3})(-2c)(3c^{d})=\\-12c^{d+2}d^{3}[/tex]
2. [tex](2x^{2})(3x^{6})-(4x^{4})(2x^{4})=\\6x^{8}-8x^{8}=\\-2x^{8}[/tex]
3. [tex](6x^{2})(3x^{6})+(4x^{4})(2x^{4})=\\18^{8}+8x^{8}=\\26x^{8}[/tex]
4. [tex](2ab^{2})^{2}(-3a^{2b^{2}})=\\4a^{2}b^{4}(-3a^{2b^{2}})=\\-12a^{2b^{2}+2}b^{4}[/tex]
5. [tex]-6a^{3}(a^{2}-2a+1)=\\-6a^{5}+12a^{4}-6a^{3}[/tex]
6. [tex]-2xy(x^{2}-3xy+y^{2})=\\-2x^{3}y+6x^{2}y^{2}-2xy^{3}[/tex]
7. [tex](a+b)(2a^{2}-ab+3b^{2})=\\2a^{3}-a^{2}b+3ab^{2}+2a^{2}b-ab^{2}+3b^{3}=\\2a^{3}+3b^{3}+a^{2}b+2ab^{2}[/tex]
2. [tex](2x^{2})(3x^{6})-(4x^{4})(2x^{4})=\\6x^{8}-8x^{8}=\\-2x^{8}[/tex]
3. [tex](6x^{2})(3x^{6})+(4x^{4})(2x^{4})=\\18^{8}+8x^{8}=\\26x^{8}[/tex]
4. [tex](2ab^{2})^{2}(-3a^{2b^{2}})=\\4a^{2}b^{4}(-3a^{2b^{2}})=\\-12a^{2b^{2}+2}b^{4}[/tex]
5. [tex]-6a^{3}(a^{2}-2a+1)=\\-6a^{5}+12a^{4}-6a^{3}[/tex]
6. [tex]-2xy(x^{2}-3xy+y^{2})=\\-2x^{3}y+6x^{2}y^{2}-2xy^{3}[/tex]
7. [tex](a+b)(2a^{2}-ab+3b^{2})=\\2a^{3}-a^{2}b+3ab^{2}+2a^{2}b-ab^{2}+3b^{3}=\\2a^{3}+3b^{3}+a^{2}b+2ab^{2}[/tex]
1.[tex](2cd^{3})(-2c)(3cd) [/tex]
[tex]-12c^{3}d^{4}[/tex]
2.[tex](2x^{2})(3x^{6}) - (4x^{4})(2x^{4})[/tex]
[tex]6x^{8} - 8x^{8}[/tex]
[tex]-2x^{8}[/tex]
3.[tex](6x^{2})(3x^{6}) + (4x^{4})(2x^{4})[/tex]
[tex]18x^{8} + 8x^{8}[/tex]
[tex]26x^{8}[/tex]
4.[tex](2ab^{2})^{2}(-3a^{2}b^{2})[/tex]
[tex]((2ab^{2})(2ab^{2}))(-3a^{2}b^{2})[/tex]
[tex](4a^{2}b^{4})(-3a^{2}b^{2})[/tex]
[tex]-12a^{4}b^{6}[/tex]
5.[tex]-6a^{3}(a^{2} - 2a + 1)[/tex]
[tex]-6a^{3}(a^{2}) + 6a^{3}(2a) - 6a^{3}(1)[/tex]
[tex]-6a^{5} + 12a^{4} - 6a^{3}[/tex]
6.[tex]-2xy(x^{2} - 3xy + y^{2})[/tex]
[tex]-2xy(x^{2}) + 2xy(3xy) - 2xy(y^{2})[/tex]
[tex]-2x^{3}y + 6x^{2}y^{2} - 2xy^{3}[/tex]
7.[tex](a + b)(2a^{2} - ab + 3b^{2})[/tex]
[tex](2a^{3} - a^{2}b + 3ab^{2} + 2a^{2}b - ab^{2} + 3b^{3})[/tex]
[tex](2a^{3} - a^{2}b + 2a^{2}b + 3ab^{2} - ab^{2} + 3b^{3})[/tex]
[tex]2a^{3} + a^{2}b + 2ab^{2} + 3b^{3}[/tex]
[tex]-12c^{3}d^{4}[/tex]
2.[tex](2x^{2})(3x^{6}) - (4x^{4})(2x^{4})[/tex]
[tex]6x^{8} - 8x^{8}[/tex]
[tex]-2x^{8}[/tex]
3.[tex](6x^{2})(3x^{6}) + (4x^{4})(2x^{4})[/tex]
[tex]18x^{8} + 8x^{8}[/tex]
[tex]26x^{8}[/tex]
4.[tex](2ab^{2})^{2}(-3a^{2}b^{2})[/tex]
[tex]((2ab^{2})(2ab^{2}))(-3a^{2}b^{2})[/tex]
[tex](4a^{2}b^{4})(-3a^{2}b^{2})[/tex]
[tex]-12a^{4}b^{6}[/tex]
5.[tex]-6a^{3}(a^{2} - 2a + 1)[/tex]
[tex]-6a^{3}(a^{2}) + 6a^{3}(2a) - 6a^{3}(1)[/tex]
[tex]-6a^{5} + 12a^{4} - 6a^{3}[/tex]
6.[tex]-2xy(x^{2} - 3xy + y^{2})[/tex]
[tex]-2xy(x^{2}) + 2xy(3xy) - 2xy(y^{2})[/tex]
[tex]-2x^{3}y + 6x^{2}y^{2} - 2xy^{3}[/tex]
7.[tex](a + b)(2a^{2} - ab + 3b^{2})[/tex]
[tex](2a^{3} - a^{2}b + 3ab^{2} + 2a^{2}b - ab^{2} + 3b^{3})[/tex]
[tex](2a^{3} - a^{2}b + 2a^{2}b + 3ab^{2} - ab^{2} + 3b^{3})[/tex]
[tex]2a^{3} + a^{2}b + 2ab^{2} + 3b^{3}[/tex]
