Question

Evaluate 49 X 54 using any suitable identies

Answer 1

Answer:

2646

Explanation:

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We know the algebraic identity:

(x+a)(x+b)=x²+(a+b)x+ab

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Now ,

49 × 54

= (50-1)(50+4)

= [50+(-1)](50+4)

Here,

x = 50, a = -1 , b = 4

= (50)²+(-1+4)×50+(-1)×4

= 2500+150-4

= 2650-4

= 2646

Therefore,

49 × 54 = 2646

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