factories:- (3a+5b)² - 4c²
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Answered by
0
Answer:
★ Answer :
→ Method 1 :
As, we have to factorise the (3a + 5b)² - 4c²
We know that,
(a + b)² = a² + b² + 2ab
→ (3a)² + (5b)² + 2(3a)(5b) - 4c²
→ 9a² + 25b² - 4c² + 30ab
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→ Method 2 :
→ (3a + 5b)² - 4c²
We can write 4c² as (2c)².
→ (3a + 5b)² - (2c)²
We know that,
a² - b² = (a + b)(a - b)
→ (3a + 5b - 2c)(3a + 5b + 2c)
→ 9a² + 15ab - 6ac + 15ab + 25b² - 10bc + 6ac + 10bc - 4c²
→ 9a² + 25b² - 4c² + 30ab
Answered by
3
Step-by-step explanation:
(3a+5b)² - 4c²
using identity a²-b²= (a+b)(a-b)
(3a+5b+4c)(3a+5b-4c)
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