Algebra Examples

$a (4 a + 3)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify by multiplying through.

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Step 2.1

Apply the distributive property.

$a (4 a) + a \cdot 3$

Step 2.2

Reorder.

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Step 2.2.1

Rewrite using the commutative property of multiplication.

$4 a \cdot a + a \cdot 3$

Step 2.2.2

Move $3$ to the left of $a$ .

$4 a \cdot a + 3 \cdot a$

Step 3

Multiply $a$ by $a$ by adding the exponents.

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Step 3.1

Move $a$ .

$4 (a \cdot a) + 3 \cdot a$

Step 3.2

Multiply $a$ by $a$ .

$4 a^{2} + 3 \cdot a$

$4 a^{2} + 3 a$