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Answer:
Sure, let's solve (4x+3)(4x-3) using both the FOIL method and the pattern method.
FOIL Method
FOIL stands for First, Outer, Inner, Last, which represents the order in which you multiply the terms in the binomials.
1.First: Multiply the first terms in each binomial.
[ 4x \cdot 4x = 16x^2 ]
2. Outer: Multiply the outer terms in the product.
[ 4x \cdot (-3) = -12x ]
3. Inner: Multiply the inner terms in the product.
[ 3 \cdot 4x = 12x ]
4. Last: Multiply the last terms in each binomial.
[ 3 \cdot (-3) = -9 ]
Now, combine all the products:
[ 16x^2 - 12x + 12x - 9 ]
Combine like terms:
[ 16x^2 - 9 ]
Step-by-step explanation:
Hope this helps.