Question:-
1. b) Factorise ➾ y² - 20y + 100
1. d) Factorise ➾ 48 - 13p - p²
2. d) Factorise ➾ 18y² - y - 4
2. e) Factorise ➾ 4m² - 27m + 18
Solutions:-
1. b) y² - 20y + 100
⇝ y² - 10y - 10y + 100 ( Splitting middle term )
⇝ y ( y - 10 ) - 10 ( y - 10 )
⇝ ( y - 10 )(y - 10 ) Ans.
1. d) -p² - 13p + 48
⇝ -p² - 16p + 3p + 48 ( Splitting middle term )
⇝ -p ( p + 16 ) + 3 ( p + 16 )
⇝ ( p + 16 )(3 - p ) Ans.
2.d) 18y² - y - 4
⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )
⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )
⇝ ( 2y - 1 )( 9y + 4 ) Ans.
2.e) 4m² - 27m + 18
⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)
⇝ 4m ( m - 6 ) - 3 ( m - 6 )
⇝ ( m - 6 )( 4m - 3 ) Ans.
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