The Foil is the acronym which shows the method to perform multiplication.
The word FOIL stands for:
F = First
O = outer
I = Inner
L = Last.Below figure helps you to understand the foil method:
Multiply first term of the first bracket to the first term of the other bracket
Step 2 :
Then multiply the first term of the first bracket to the last term of the second bracket.
Step 3 :
Now come to the second term of first bracket, multiply second term with first term of second bracket.
Step 4 :
Finaly multiply last term of first bracket with the last term of the second bracket.
Step 5 :
Adding all the answers got from the steps, we get the final answer.
(2x + 3)(3x + 4)
Step 1 :Multiply first term of the first expression with first term of second expression
2x $\times$ 3x = 6X2
Step 2 :Then Multiply first term of first expression with second term of second expression
2x $\times$ 4 = 8x
Step 3 :Now multiply the second term of first expression with second term of second expression
3 $\times$ 3x = 9x
Step 4 :Lastly multiply second term of first expression with second term of second expression
3 $\times$ 4 = 12
Step 5 :Adding all the answers got from the steps we get
6x2 + 8x + 9x + 12.
Answer :6x2 + 17x + 12
(4x + 3)( 5x + 3)
Step 1 :Multiply first term of the first expression with first term of second expression
4x $\times$ 5x = 20 x2
Step 2 :Then Multiply first term of first expression with second term of second expression
4x $\times$ 3 = 12 x
Step 3 :Now multiply the second term of first expression with second term of second expression
3 $\times$ 5x = 15x
Step 4 :Lastly multiply second term of first expression with second term of second expression
3 $\times$ 3 = 9
Step 5 :Adding all the above answers got from the steps, we get
20x2 + 12x + 15x + 9.
Answer :20x2 + 27x +9