A² - B² Flashcards

1
Q

a² - b²

A

(a + b)(a - b)

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2
Q

4x² - 9y²

A

(2x + 3y)(2x - 3y)

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3
Q

a² - 16.

A

(a + 4)(a - 4)

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4
Q

25x² - 16y²

A

(5x + 4y)(5x - 4y)

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5
Q

9a² - 4b²

A

(3a + 2b)(3a - 2b)

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6
Q

(x + 3)(x - 3)

A

x² - 9

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7
Q

16x² - y²

A

(4x + y)(4x - y)

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8
Q

36a² - 25b²

A

(6a + 5b)(6a - 5b)

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9
Q

49x² - 64y²

A

(7x + 8y)(7x - 8y)

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10
Q

25m² - 36n²

A

(5m + 6n)(5m - 6n)

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11
Q

(2p + 3q)(2p - 3q)

A

4p² - 9q²

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12
Q

(r + s)(r - s)

A

r² - s²

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13
Q

36x² - 16y²

A

(6x + 4y)(6x - 4y)

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14
Q

81a² - 25b²

A

(9a + 5b)(9a - 5b)

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15
Q

100x² - 121y²

A

(10x + 11y)(10x - 11y)

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16
Q

16x⁴ - y⁴

A

(4x²)² - (y²)²
= (4x² - y²)(4x² + y²)
= [(2x)² - y²] (4x² + y²)
=(2x + y)(2x - y)(4x² + y²)