1644839160

# Precalculus Course: Polynomial Special Products-Difference Of Squares

In today's video of Precalculus Course, we will see the Polynomial Special Products-Difference Of Squares

The difference of squares pattern tells us that (a+b)(a-b)=a²-b². This can be used to expand (x+2)(x-2) as x²-4, but also to expand (3+5x⁴)(3-5x⁴) as 9-25x⁸, or (3y²+2y⁵)(3y²-2y⁵) as 9y⁴-4y¹⁰.

1644839160

## Precalculus Course: Polynomial Special Products-Difference Of Squares

In today's video of Precalculus Course, we will see the Polynomial Special Products-Difference Of Squares

The difference of squares pattern tells us that (a+b)(a-b)=a²-b². This can be used to expand (x+2)(x-2) as x²-4, but also to expand (3+5x⁴)(3-5x⁴) as 9-25x⁸, or (3y²+2y⁵)(3y²-2y⁵) as 9y⁴-4y¹⁰.

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## Precalculus Course: Polynomial Special Products - Perfect Square

In today's video of Precalculus Course, we will see the Polynomial Special Products - Perfect Square

The perfect square pattern tells us that (a+b)²=a²+2ab+b². This can be used to expand (x+1)² as x²+2x+1, but also to expand (5x⁶+4)² as 25x¹²+40x⁶+16, or (3t²-7t⁶)² as 9t⁴-42t⁸+49t¹².

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