a2 - b2 = (a + b)(a - b)
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Problem 1 :
x2 - 16
Solution :
(x² - 16) can be written as x² - 4²
Here a = x, b = 4
a² - b² = (a + b) (a - b)
x² - 4² = (x + 4) (x - 4)
Problem 2 :
y² - 49
Solution :
(y² - 49) can be written as y² - 7²
Here a = y, b = 7
y² - 7² = (y + 7) (y - 7)
Problem 3 :
x² - 25
Solution :
(x² - 25) can be written as x² - 5²
Here a = x, b = 5
x² - 5² = (x + 5) (x - 5)
Problem 4 :
4x² - 25
Solution :
(4x² - 25) can be written as (2x)² - 5²
Here a = 2x and b = 5
(2x)² - 5² = (2x + 5) (2x - 5)
Problem 5 :
16 - y²
Solution :
(16 - y²) can be written as 4² - y²
Here a = 4 and b = y
4² - y² = (4 + y) (4 - y)
Problem 6 :
m² - 36
Solution:
(m² - 36) can be written as m² - 6²
Here a = m, b = 6
m² - 6² = (m + 6) (m - 6)
Problem 7 :
4m² - 49
Solution :
(4m² - 49) can be written as (2m)² - 7²
Here a = 2m and b = 7
(2m)² - 7² = (2m + 7) (2m - 7)
Problem 8 :
9m² - 16
Solution:
(4m² - 49) can be written as (3m)² - 4²
Here a = 3m and b = 4
(3m)² - 4² = (3m + 4) (3m - 4)
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