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Use suitable identities to find the following products:- (i) (3-2x) (3+2x) |
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Answer» 9 – 4x²Step-by-step explanation:As PER the information provided in the QUESTION, We have :(3 – 2x)(3 + 2x)We are asked to find the PRODUCT of it using a suitable identity.As it is in the FORM of ⇒(a - b)(a + b), The identity USED will be — (a - b)(a + b) = a² – b².Where,a = 3b = 2x∴ Hence, ⇒ ⇒ ⇒ ∴ Product of (3 – 2x)(3 + 2x) = 9 – 4x².Learn more!( a + b)² = a² + b² + 2ab( a - b )² = a² + b² - 2ab( a + b )² + ( a - b)² = 2a² + 2b²( a + b )² - ( a - b)² = 4ab( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2caa² + b² = ( a + b)² - 2ab(a + b )³ = a³ + b³ + 3ab ( a + b)( a - b)³ = a³ - b³ - 3ab ( a - b)If a + b + c = 0 then a³ + b³ + c³ = 3abc. |
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