Solve 3a^2*5ab^2+2a^3*10*b*b

$$3 a ^ { 2 } \cdot 5 a b ^ { 2 } + 2 a ^ { 3 } \cdot 10 \cdot b \cdot b$$

Evaluate

$$35b^{2}a^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3a^{3}\times 5b^{2}+2a^{3}\times 10bb$$

Multiply b and b to get b^{2}.

$$3a^{3}\times 5b^{2}+2a^{3}\times 10b^{2}$$

Multiply 3 and 5 to get 15.

$$15a^{3}b^{2}+2a^{3}\times 10b^{2}$$

Multiply 2 and 10 to get 20.

$$15a^{3}b^{2}+20a^{3}b^{2}$$

Combine 15a^{3}b^{2} and 20a^{3}b^{2} to get 35a^{3}b^{2}.

$$35a^{3}b^{2}$$

Differentiate w.r.t. b

$$70ba^{3}$$