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Using distributive law, find the square of 72 - Mathematics

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Question

Using distributive law, find the square of 72

Sum

Solution

Given: 72

As we know,

(72)2 is to find using distributive law:

722 = (70 + 2)2

= (70 + 2)(70 + 2)

= 70(70 + 2) + 2(70 + 2)

= ((70 × 70) + (70 × 2)) + ((2 × 70) + (2 × 2))

= 4900 + 140 + 140 + 4

= 5184

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 93]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 93. (b) | Page 93

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