Basic Math Examples

$(3 y - 5) (9 y^{2 + 15 y + 25})$

Step 1

Simplify by multiplying through.

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Step 1.1

Add $2$ and $25$ .

$(3 y - 5) (9 y^{15 y + 27})$

Step 1.2

Apply the distributive property.

$3 y (9 y^{15 y + 27}) - 5 (9 y^{15 y + 27})$

Step 1.3

Simplify the expression.

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Step 1.3.1

Rewrite using the commutative property of multiplication.

$3 \cdot 9 y \cdot y^{15 y + 27} - 5 (9 y^{15 y + 27})$

Step 1.3.2

Multiply $9$ by $- 5$ .

$3 \cdot 9 y \cdot y^{15 y + 27} - 45 y^{15 y + 27}$

Step 2

Simplify each term.

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Step 2.1

Multiply $y$ by $y^{15 y + 27}$ by adding the exponents.

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Step 2.1.1

Move $y^{15 y + 27}$ .

$3 \cdot 9 (y^{15 y + 27} y) - 45 y^{15 y + 27}$

Step 2.1.2

Multiply $y^{15 y + 27}$ by $y$ .

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Step 2.1.2.1

Raise $y$ to the power of $1$ .

$3 \cdot 9 (y^{15 y + 27} y^{1}) - 45 y^{15 y + 27}$

Step 2.1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 \cdot 9 y^{15 y + 27 + 1} - 45 y^{15 y + 27}$

Step 2.1.3

Add $27$ and $1$ .

$3 \cdot 9 y^{15 y + 28} - 45 y^{15 y + 27}$

Step 2.2

Multiply $3$ by $9$ .

$27 y^{15 y + 28} - 45 y^{15 y + 27}$