Question

Expand the algebraic expression $5^x(5^x+2)$

• A. $5^x+2\left(5^x\right)$
• B. $5^{2x}+2\left(5^x\right)$
• C. $5^{3x}+2\left(5^x\right)$
• D. $5^{-2x}+2\left(5^x\right)$

Answer 1

The correct option is B $5^{2x}+2\left(5^x\right)$

$5^x(5^x+2)$
Using Distributive property of multiplication
$5^x(5^x+2)=5^x\cdot 5^x+2\cdot 5^x$
Applying laws of exponents
$5^x\cdot 5^x+2\cdot 5^x=5^x\cdot 5^x+\left(2\right)\left(5^x\right)=5^{2x}+2\left(5^x\right)$