Algebra Examples

$4 y + 5 y^{2} - 6 - 5 y + 27 - y^{2}$

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

Subtract $5 y$ from $4 y$ .

$- y + 5 y^{2} - 6 + 27 - y^{2}$

Step 3

Subtract $y^{2}$ from $5 y^{2}$ .

$- y + 4 y^{2} - 6 + 27$

Step 4

Simplify the expression.

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Step 4.1

Add $- 6$ and $27$ .

$- y + 4 y^{2} + 21$

Step 4.2

Reorder $- y$ and $4 y^{2}$ .

$4 y^{2} - y + 21$