**Add and subtract polynomials using algebra tiles :**

By learning this topic, we can easily add or subtract two polynomials without making mistakes. This is one the easiest method to add and subtract polynomials.

**Example 1 :**

Use algebra tiles to find (6x² + 3x - 2) - (4x² + 2x - 1)

To subtract the given two polynomials, we have to cross out the common terms.

Remaining number of tiles in x² = 2

number of tiles in x = 1

number of tiles in -1 = 1

(6x² + 3x - 2) - (4x² + 2x - 1) = 2x² + 1x + 1

We can subtract the given polynomials in another way also.

**Step 1 :**

= (6x² + 3x - 2) - (4x² + 2x - 1)

= 6x² + 3x - 2 - 4x² - 2x + 1

**Step 2 :**

Combining the like terms, we get

= 6x² - 4x² + 3x - 2x - 2 + 1

= 2x² + x - 1

**Example 2 :**

Use algebra tiles to find (10x - 6) - (7x - 2)

To subtract the given two polynomials, we have to cross out the common terms.

By cross out the similar tiles in each category,

number of tiles remaining in x = 3

number of tiles in -1 = 4

(10x - 6) - (7x - 2) = 3x - 4

We can subtract the given polynomials in another way also.

**Step 1 :**

= (10x - 6) - (7x - 2)

= 10x - 6 - 7x + 2

**Step 2 :**

Combining the like terms, we get

= 10x - 7x - 6 + 2

= 3x - 4

**Example 3 :**

Use algebra tiles to find (-5x²- 6) - (-4x²- 4)

To subtract the given two polynomials, we have to cross out the common terms.

By cross out the similar tiles in each category,

number of tiles remaining in -x² = 1

number of tiles in -1 = 2

-1 x²- 2

We can subtract the given polynomials in another way also.

**Step 1 :**

= (-5x²- 6) - (-4x²- 4)

= -5x²- 6 + 4x²+ 4

**Step 2 :**

Combining the like terms, we get

= -5x²+ 4x² - 6 + 4

= -1 x² - 2

After having gone through the stuff given above, we hope that the students would have understood "Add and subtract polynomials using algebra tiles".

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