find the product of following using identity ( x+a ) ( x+b ) = x^2 + (a + b)x + ab
☆( x + 1 ) ( x +2 )
☆(3x + 5) (3x + 1)
☆(3a + 5) (3a - 8)
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Solution:
i) (x+1)(x+2)
= x²+(1+2)x+1×2
= x²+3x+2
ii) (3x+5)(3x+1)
= (3x)²+(5+1)(3x)+5×1
= 9x²+6×3x+5
= 9x²+18x+5
iii) (3a+5)(3a-8)
= (3a)²+(5-8)(3a)+5×(-8)
= 9a²+(-3)(3a)-40
= 9a²-9a-40
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