Question

( 10 - y ) ( 10 + y ) = ?

Pa answer po please

Answer 1

Let's factorise it :

`\: {\qquad \dashrightarrow \sf ( 10 - y ) ( 10 + y) }`

`\: {\qquad \dashrightarrow \sf 10(10 + y) + [ - y(10 + y)] }`

Using distributive property we get :

`\: {\qquad \dashrightarrow \sf {10}^(2) + 10y+ (- 10y - {y}^(2) ) }`

`\: {\qquad \dashrightarrow \sf {10}^(2) \: \cancel { + 10y }\: \: \cancel{ - 10y } - {y}^(2) }`

`\: {\qquad \dashrightarrow \sf 100 - {y}^(2) }`

Therefore,

`{{{\qquad \dashrightarrow \sf ( 10 - y ) ( 10 + y) = 100 - {y}^(2)}}}`