Question

. Using the identity (a + b)² = (a² + 2ab + b²), evaluate 112²



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Answer 1

112²

Using Identity

(a + b)² = (a² + 2ab + b²)

Solution

⇛112²

⇛(100 + 12)²

⇛(100)² + 2 × 100 × 12 + (12)²

⇛10000 + 2400 + 144

⇛12400 + 144

⇛12544

Answer 2

`\\ \sf\longmapsto 112^2`

`\\ \sf\longmapsto (100+12)^2`

`\\ \sf\longmapsto 100^2+2(100)(12)+12^2`

`\\ \sf\longmapsto 10000+2400+144`

`\\ \sf\longmapsto 12400+144`

`\\ \sf\longmapsto 12544`