Friends please tell this. urgent it is
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Answer:
4m² + 16m + 15
Step-by-step explanation:
Given : (2m + 3)(2m + 5)
→ 2m(2m + 5) + 3(2m + 5)
→ 4m² + 10m + 6m + 15
→ 4m² + 16m + 15
Or
Given : (2m + 3)(2m + 5)
Identity : (x + a)(x + b) = x² + (a + b)x + ab
Here, x = 2m, a = 3, b = 5
→ (2m)² + (3 + 5)(2m) + (3)(5)
→ (2m)² + (8)(2m) + (3)(5)
→ 4m² + 16m + 15
Similar Identities are :
• (a + b)(a - b) = a² - b²
• (a + b)(a + b) = a² + 2ab + b²
• (a - b)(a - b) = a² - 2ab + b²
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