use suitable identity solve this (a+2) (a+3)
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Answer:
4(a+5/2)² - 1
Step-by-step explanation:
(a+2)(a+3) = a² + 5a + 6 . [multiplying both]
Using Completing square method
a² + 5a + (5/2)² - (5/2)² + 6 [adding and multiplying the square of 5/2]
[a+5/2]² - (25 + 24)/4 . [identity: (a+b)² = a² + 2ab + b²]
[a+5/2]² - 1/4
= 4[a+5/2]² - 1 . [multiplying the whole by 4]
∴ (a+2)(a+3) = 4(a+5/2)² - 1
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