Question

VI. Using identities, evaluate i)107×103​

Answer 1

$\huge{\mathcal{\blue{\underline{Answer}}}}$

$= 107 \times 103 \\ = (100 + 7)(100 + 3) \\ = (100) {}^{2} + (7 + 3)10 0 + (7)(3) \\ = 10000 + 1000 + 21$

$\huge{\mathcal{\blue{\underline{=11021}}}}$

☑ Identity Used :

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

Answer 2

Answer:

11021

107= 100+7

103=100+3

(100+7)(100+3)

(x+a)(x+b)=x^2+(a+b)x+ab

(100)^2+(7+3)100+7×3=11021

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