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Expanded Form of Decimal

Simplify each...

Question

Simplify each of the following:

(i) 175 × 175 + 2 × 175 × 25 + 25 × 25

(ii) 322 × 322 − 2 × 322 × 22 + 22 × 22

(iii) 0.76 × 0.76 + 2 × 0.76 × 0.24 + 0.24 × × 0.24

(iv) $\frac{7.83 \times 7.83 - 1.17 \times 1.17}{6.66}$

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Solution

In the given problem, we have to simplify expressions

(i) Given

Put

Hence the equation becomes,

That is

Hence the value of is

(ii) We have been given

Put

Hence the equation becomes

That is

Hence the value of is

(iii) Given

Put

Hence the equation becomes

That is

Hence the value of is

(iv) We have been given

Put

Hence the equation becomes

Hence the value of is

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Similar questions

Simplify each of the following :

(i) $175 \times 175 + 2 \times 175 \times 25 + 25 \times 25$

(ii) $322 \times 322 - 2 \times 322 \times 22 + 22 \times 22$

(iii) $0.76 \times 0.76 + 2 \times 0.76 \times 0.24 + 0.24 \times 0.24$

(iv) $\frac{7.83 \times 7.83 - 1.17 \times 1.17}{6.66}$

Q. The value of

\frac{0.76 \times 0.76 \times 0.76 + 0.24 \times 0.24 \times 0.24}{0.76 \times 0.76 - 0.76 \times 0.24 + 0.24 \times 0.24}

{(2 \sqrt{5} + 3 \sqrt{2})}^{2}

(2^{3})^{- 2} \times (3^{2})^{2}

The value of $\frac{7.83 \times 7.83 - 1.17 \times 1.17}{6.66}$ is :

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