Pre-Algebra Examples

$(8 x + 42) (15 x)$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Simplify by multiplying through.

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Step 1.1.1

Apply the distributive property.

$8 x (15 x) + 42 (15 x)$

Step 1.1.2

Simplify the expression.

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Step 1.1.2.1

Rewrite using the commutative property of multiplication.

$8 \cdot 15 x \cdot x + 42 (15 x)$

Step 1.1.2.2

Multiply $15$ by $42$ .

$8 \cdot 15 x \cdot x + 630 x$

Step 1.2

Simplify each term.

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Step 1.2.1

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

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Step 1.2.1.1

Move $x$ .

$8 \cdot 15 (x \cdot x) + 630 x$

Step 1.2.1.2

Multiply $x$ by $x$ .

$8 \cdot 15 x^{2} + 630 x$

Step 1.2.2

Multiply $8$ by $15$ .

$120 x^{2} + 630 x$

Step 2

The largest exponent is the degree of the polynomial.

$2$