The value of 56 - 54 is-

The correct option is D 302456 × 54 can be nbsp; written as (50 + 6)(50 + 4) Using the identity nbsp; (x + a)(x + b) = x^2 + (a + b)x + ab, (50 + 6)(50 + 4) ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Identity: (x + a)(x + b) = x^2 + (a + b)x + ab

The value of ...

Question

The value of 56 $\times$ 54 is .

3124

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2924

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2944

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3024

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Solution

The correct option is D 3024
56 $\times$ 54 can be written as $(50 + 6) (50 + 4)$
Using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ ,
$(50 + 6) (50 + 4) = (50)^{2} + (6 + 4) 50 + 6 \times 4$
$\Rightarrow (50 + 6) (50 + 4) = 2500 + 500 + 24 = 3024$

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The value of 56 × 54 is .

The correct option is D 302456 × 54 can be written as (50+6)(50+4) Using the identity (x+a)(x+b)=x2+(a+b)x+ab, (50+6)(50+4)=(50)2+(6+4)50+6×4 ⇒(50+6)(50+4)=2500+500+24=3024

The value of 56 $\times$ 54 is .

The correct option is D 3024
56 $\times$ 54 can be written as $(50 + 6) (50 + 4)$
Using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ ,
$(50 + 6) (50 + 4) = (50)^{2} + (6 + 4) 50 + 6 \times 4$
$\Rightarrow (50 + 6) (50 + 4) = 2500 + 500 + 24 = 3024$