Compute the value of $20^{2} + 30^{2}$

1250

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1300

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1350

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1400

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Solution

The correct option is B
1300

The given expression can be written as

$30^{2} + 20^{2}$

$= (25 + 5)^{2} + (25 - 5)^{2}$

$= 2 (25^{2} + 5^{2}) [(x + y)^{2} + (x - y)^{2} = 2 (x^{2} + y^{2})]$

$= 2 (625 + 25)$

$= 1300$

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Similar questions

Compute the value of $24^{2} + 20^{2}$

Compute the value of $35^{2} + 5^{2}$

Compute the squares of these numbers mentally.

(i) 102

(ii) 202

(iii) 1001

(iv) 2002

(v) 205

(vi) 10.3

(302)^{3}

Find the value.

$302 \times 13 = ?$

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