Question

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Answer 1

Step-by-step explanation:

1.

a² - 64

= (a)² - (8)²

= (a + 8)(a - 8)

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2.

20a²- 45b²

=5[4a² - 9b²]

=5[(2a)² - (3b)²]

=5(2a + 3b)(2a - 3b)

_________________

3.

36x²y² - 81

=(6xy)² - (9)²

=(6xy + 9)(6xy - 9)

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4.

x² - 2xy + y² - z²

=[(x)² - 2*x*y + (y)²] - (z)². [ a² - 2*a*b + b² = (a - b)²]

=(x - y)² - (z)²

=(x - y + z)(x - y - z)

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5.

49x² - 1

=(7x)² - (1)²

=(7x + 1)(7x - 1)

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Main concept Used:

a² - b² = (a + b)(a - b)

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