Answer:
- [tex]x^{2} -2x-8[/tex]
- [tex]d^{4}-25d^{2}+144[/tex]
- [tex]-p^{8}+3p^{4} q^{3} +2p^{2}q^{2}-6q^{5}[/tex]
- [tex]3b^{9} +9b^{7}e^{3}-2e^{5} b^{2}-6e^{8}[/tex]
- [tex]-4v^{2}-12vz-9z^{2}[/tex]
Step-by-step explanation:
1.(x-2)(x+4)
[tex](x*x)(x*4)(-2*x)(-2*4)\\x^{2}+4x-2x-8\\x^{2} -2x-8[/tex]
2.(d² - 9)(d² - 16)
[tex](d^{2}*d^{2})(d^{2}*( -16))(-9*d^{2})(-9*(-16))\\d^{4}-16d^{2}-9d^{2}+144\\d^{4}-25d^{2}+144[/tex]
3.(p⁴ - 2q²)(-p² + 3q³)
[tex](p^{4}* (-p^{4}) )(p^{4} *3q^{3} )(-2q^{2}*(-p^{2}))(-2q^{2}*3q^{3} )\\-p^{8}+3p^{4} q^{3} +2p^{2}q^{2}-6q^{5}\\[/tex]
4.(3b⁷- 2e⁵)(b² + 3e³)
[tex](3b^{7}*b^{2})(3b^{7}*3e^{3} )(- 2e^{5}*b^{2} )(- 2e^{5}*3e^{3})\\3b^{9} +9b^{7}e^{3}-2e^{5} b^{2}-6e^{8}[/tex]
5.(-2v - 3z)(2v + 3z)
[tex](-2v*2v)(-2v*3z)(-3z*2v)(-3z*3z)\\-4v^{2}-6vz-6vz-9z^{2} \\-4v^{2}-12vz-9z^{2}[/tex]
<3
(this is kinda hard, honestly :))
