Find the value of 24 - 26 using a suitable algebraic identity-

The correct option is C 62424 × 26 = (20+4) × (20 + 6) It is in the form of (x + a) (x + b) where x = 20, a =4 and b = 6. We know, (x+a)(x+b)=x^2 + (a+b)x+ab ...

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Standard VIII

Mathematics

Factorization of ax^2+bx+c

Find the valu...

Question

Find the value of $24 \times 26$ using a suitable algebraic identity.

424

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6242

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624

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4624

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Solution

The correct option is C 624
$24 \times 26 = (20 + 4) \times (20 + 6)$

It is in the form of (x + a) (x + b)
where x = 20, a =4 and b = 6.

We know,
$(x + a) (x + b) = x^{2} + (a + b) x + a b$

$∴ 24 \times 26 = (20 + 4) \times (20 + 6) = (20)^{2} + (4 + 6) \times 20 + (4 \times 6) = 400 + 10 \times 20 + 24 = 400 + 200 + 24 = 624$

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Find the value of 24×26 using a suitable algebraic identity.

The correct option is C 62424×26=(20+4)×(20+6) It is in the form of (x + a) (x + b) where x = 20, a =4 and b = 6. We know, (x+a)(x+b)=x2+(a+b)x+ab ∴24×26=(20+4)×(20+6)=(20)2+(4+6)×20+(4×6)=400+10×20+24=400+200+24=624

Find the value of $24 \times 26$ using a suitable algebraic identity.