how to multiply binomials ?
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Multiplication of Binomial by Binomial, we use a FOIL method.
F = First terms
O = Outer terms
I = Inner terms
L = Last terms
Example:
1)
2) (2x -1)(5x +6)
Solution :
= (2x . 5x)+ (2x . 6) + (-1 . 5)+ (-1 . 6)
= 10x 2+ 12x - 5x -6 (add like terms)
= 10x 2 + 7x - 6
3) (8x - 3)( 9x -2)
Solution :
= (8x . 9x)+ (8x . -2)+ (-3 . 9x) + (-3 . -2)
= 72x 2 - 16x - 27x + 6
=72x 2 - 43x + 6
4) (y + 2) ( y - 2)
Solution :
= (y . y)+ (7 . -2)+ (2 . y)+ (2 . -2)
= y 2 + 2y - 2y - 4
= y 2 + 0 - 4
= y 2 - 4
5) (x 2 + 5)(x 2 + 10)
Solution :
= (x 2 . x 2 )+ (x 2 . 10)+ (5 . x 2 )+ (5 . 10)
= x 2 + 2 + 10x2 + 5x2 + 50
= x 4 + 15x 2 + 50
6) (2x 2 + 8)(x 2 - 7)
Solution :
= (2x 2 . x 2 )+ (2x 2 . (-7)+ (8 . x 2 )+ (8 . (-7)
= 2x 2 + 2 - 14x2 + 8x2 -56
= 2x 4 - 6x 2 - 56
⭐I hope it helps you mate ⭐✨☃️:)
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