FIND THE PRODUCT
Cube of a binomial
Formula:
[tex](a+b)^{3}[/tex]
[tex]a^{3}+3(a)^{2}(b)+3(a)(b)^{2}+b^{3}[/tex]
[tex](a-b)^{3}[/tex]
[tex]a^{3}-3(a)^{2}(b)+3(a)(b)^{2}-b^{3}[/tex]
1. Equation: [tex](x+5)^{3}[/tex]
Solution:
[tex]x^{3}+3(x)^{2}(5)+3(x)(5)^{2}+5^{3}[/tex]
[tex]x^{3}+15x^{2} +75x+125[/tex]
Answer:
[tex]{\red{\huge{\boxed{x^{3}+15x^{2} +75x+125}}}}[/tex]
2. Equation: [tex](x-2)^{3}[/tex]
Solution:
[tex]x^{3}-3(x)^{2}(2)+3(x)(2)^{2}-2^{2}[/tex]
[tex]x^{3}-6x^{2} +12x-4[/tex]
Answer:
[tex]{\orange{\huge{\boxed{x^{3}-6x^{2} +12x-4}}}}[/tex]
[tex]{\purple{\boxed{Soyeon:))}}}[/tex]
