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in Algebraic Expressions by (36.4k points)
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Using the formula for squaring a binomial, evaluate the following:

(i) (102)2

(ii) (99)2

(iii) (1001)2

(iv) (999)2

(v) (703)2

1 Answer

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Best answer

(i) (102)2

This can be written as:

(100 + 2)2

= (100)2 + 2 (100) (2) + 22

= 10000 + 400 + 4

= 10404

(ii) (99)2

This can be written as:

(100 – 1)2

= (100)2 – 2 (100) (1) + 12

= 10000 – 200 + 1

= 9801

(iii) (1001)2

This can be written as:

(1000 + 1)2

= (1000)2 + 2 (1000) (1) + 12

= 1000000 + 2000 + 1

= 1002001

(iv) (999)2

This can be written as:

(1000 – 1)2

= (1000)2 – 2 (1000) (1) + 12

= 1000000 – 2000 + 1

= 998001

(v) (703)2

This can be written as:

(700 + 3)2

= (700)2 + 2 (700) (3) + 32

= 490000 + 4200 + 9

= 494209

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