# How do you simplify 7(6x^2+5x+4)?

Jul 29, 2016

The distributive property states that $a \left(b + c + d\right) = a \cdot b + a \cdot c + a \cdot d$. Let's use this to get our answer:
$7 \left(6 {x}^{2} + 5 x + 4\right) = 7 \cdot 6 {x}^{2} + 7 \cdot 5 x + 7 \cdot 4 = 42 {x}^{2} + 35 x + 28$
$42 {x}^{2} + 35 x + 28$ is our answer.