Simplify 6x(5x+7)

$6 x (5 x + 7)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$6 x (5 x) + 6 x \cdot 7$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$6 \cdot 5 x \cdot x + 6 x \cdot 7$

Multiply $7$ by $6$ .

$6 \cdot 5 x \cdot x + 42 x$

Step 2

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$6 \cdot 5 (x \cdot x) + 42 x$

Multiply $x$ by $x$ .

$6 \cdot 5 x^{2} + 42 x$

Multiply $6$ by $5$ .

$30 x^{2} + 42 x$