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प्रश्न
Multiply: 4a + 5b and 4a - 5b
उत्तर १
Product of 4a + 5b and 4a - 5b
= 16a2 - 25b2
4a + 5b
× 4a - 5b
16a2 + 20ab
- 20ab - 25b2
16a2 - 25b2
उत्तर २
(4a + 5b) × (4a − 5b)
(x + y) (x − y) = x2 − y2
x = 4a and y = 5b
Using the formula:
(4a + 5b) (4a − 5b) = (4a)2 − (5b)2
Simplify each term
(4a)2 = 16a2,
(5b)2 = 25b2
(4a + 5b) (4a − 5b) = 16a2 − 25b2
= 16a2 − 25b2
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