Question

Evaluate the following,using identity .51×52

Answer 1

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=> Evaluate the following using identity 51×52.

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$\bold\big\huge\underline{Solution}}}}$

★ 51 × 52

=> Evaluating 51×52 ↓

★ ( 50+1 ) × ( 50+2 )

$(x + a)(x + b) = {x}^{2} + (a + b)x + ab$

• x = 50
• a = 1
• b = 2

=> Putting the value in the formulae .

$(50 \times 1)(50 \times 2) = {(50)}^{2} + (1 + 2)50 + 1 \times 2 \\ \: \: \: \: \: \: = 2500 + 3 \times 50 + 2 \\ \: \: \: \: \: \: \: = 2500 + 150 + 2 \\ \: \: \: \: \: = 2652 \:$

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=> 2652 .

Answer 2

Step-by-step explanation:

2652 is the answer using identity