Question

Using identities evaluate the following:

Answer 1

${\huge {\pink {\overline {\underline {\boxed {\mathcal {Answer}}}}}}}$

i. 195 × 205

$\pink\longrightarrow$ (200-5)(200+5)

$\pink\longrightarrow$ using identity a²+b²=(a+b)(a-b)

$\pink\longrightarrow$ (200)²-(5)²

$\pink\longrightarrow$ 40000-25

$\pink\longrightarrow$ 39975

ii. (10.2)²

$\pink\longrightarrow$ (10+0.2)²

$\pink\longrightarrow$ using identity (a+b)²=a² + 2ab+ b²

$\pink\longrightarrow$ (10)²+2(10)(0.2)+(0.2)²

$\pink\longrightarrow$ 100+4+0.04

104.04

Answer 2

Step-by-step explanation:

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