Answer:
The product of [tex]5a^{2}(3a^{4}+3b)[/tex] is [tex]15a^{6}+15a^{2}b[/tex] .
Step-by-step explanation:
As given the expression in the question
[tex]= 5a^{2}(3a^{4}+3b)[/tex]
First open the bracket
[tex]= 5a^{2}\times 3a^{4}+5a^{2}\times 3b[/tex]
Now by using the exponent property
[tex]x^{a}.x^{b}=x^{a+b}[/tex]
[tex]= 15a^{2+4}+5a^{2}\times 3b[/tex]
[tex]= 15a^{6}+15a^{2}b[/tex]
Therefore the product of [tex]5a^{2}(3a^{4}+3b)[/tex] is [tex]15a^{6}+15a^{2}b[/tex] .
