Evaluate 108 - 106 using suitable identity-

108 × 106 = (100+8)(100+6) (x+a)(x+b) = x^2 + (a+b)x + ab = (100)^2 + (8+6) 100 nbsp; + (8 × 6) = 10000 + 1400 + 48 = 11448 So, the correct answer is option ( ...

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Standard IX

Mathematics

Algebraic Identities

Evaluate 108 ...

Question

Evaluate $108 \times 106$ using suitable identity.

11400

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11500

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11448

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11100

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Solution

The correct option is C 11448
$108 \times 106$
$= (100 + 8) (100 + 6)$
$(x + a) (x + b) = x^{2} + (a + b) x + a b$
$= (100)^{2} + (8 + 6) 100 + (8 \times 6)$
$= 10000 + 1400 + 48$
$= 11448$
So, the correct answer is option (c).

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Evaluate 108×106 using suitable identity.

The correct option is C 11448108×106 =(100+8)(100+6) (x+a)(x+b)=x2+(a+b)x+ab =(100)2+(8+6)100+(8×6) =10000+1400+48 =11448 So, the correct answer is option (c).

Evaluate $108 \times 106$ using suitable identity.

The correct option is C 11448
$108 \times 106$
$= (100 + 8) (100 + 6)$
$(x + a) (x + b) = x^{2} + (a + b) x + a b$
$= (100)^{2} + (8 + 6) 100 + (8 \times 6)$
$= 10000 + 1400 + 48$
$= 11448$
So, the correct answer is option (c).