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Algebraic Identities

Question

Using identity $(a + b)^{2} = (a^{2} + 2 a b + b^{2})$ Evaluate (i) $(609)^{2}$ (ii) $(725)^{2}$

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Solution

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(i) $(609)^{2} = (600 + 9)^{2} = (600)^{2} + 2 \times 600 \times 9 + (9)^{2} = 360000 + 10800 + 81 = 370881$
(ii) $(725)^{2} = (700 + 25)^{2} = (700)^{2} + 2 \times 700 \times 25 + (25)^{2} = 490000 + 35000 + 625 = 525625$

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Similar Questions

Q1

Using identity

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

Evaluate (i)

(609)^{2}

(ii)

(725)^{2}

View Solution

Q2

Evaluate using the identity:

(i) (49)²; (ii) (9.8)²; (iii) (59)²; (iv) (198)².

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Q3

Evaluate

(59)^{2}

using the identity

(a - b)^{2} = a^{2} - 2 a b + b^{2}

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Q4

Use the given identities to evaluate the following:

209^{2}

using

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

View Solution

Q5

Evaluate:

\sqrt{\frac{a^{2} + 2 a b + b^{2}}{a^{2} - 2 a b + b^{2}}}

View Solution