Algebra Examples

$x^{6} y^{4} (x^{4} - 16) - 9 (x^{4} - 16)$

Step 1

Apply the distributive property.

$x^{6} y^{4} x^{4} + x^{6} y^{4} \cdot - 16 - 9 (x^{4} - 16)$

Step 2

Multiply $x^{6}$ by $x^{4}$ by adding the exponents.

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Step 2.1

Move $x^{4}$ .

$x^{4} x^{6} y^{4} + x^{6} y^{4} \cdot - 16 - 9 (x^{4} - 16)$

Step 2.2

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

$x^{4 + 6} y^{4} + x^{6} y^{4} \cdot - 16 - 9 (x^{4} - 16)$

Step 2.3

Add $4$ and $6$ .

$x^{10} y^{4} + x^{6} y^{4} \cdot - 16 - 9 (x^{4} - 16)$

Step 3

Move $- 16$ to the left of $x^{6} y^{4}$ .

$x^{10} y^{4} - 16 \cdot (x^{6} y^{4}) - 9 (x^{4} - 16)$

Step 4

Remove parentheses.

$x^{10} y^{4} - 16 x^{6} y^{4} - 9 (x^{4} - 16)$

Step 5

Apply the distributive property.

$x^{10} y^{4} - 16 x^{6} y^{4} - 9 x^{4} - 9 \cdot - 16$

Step 6

Multiply $- 9$ by $- 16$ .

$x^{10} y^{4} - 16 x^{6} y^{4} - 9 x^{4} + 144$