Apply FOIL method: To multiply the two binomials, we will use the FOIL method, which stands for First, Outer, Inner, Last. This means we will multiply the first terms in each binomial, then the outer terms, the inner terms, and finally the last terms.
Multiply first terms: First, we multiply the first terms in each binomial: (4x6)×(4x6)=16x12.
Multiply outer terms: Next, we multiply the outer terms: (4x6)×(3x)=12x7.
Multiply inner terms: Then, we multiply the inner terms: (−3x)×(4x6)=−12x7.
Multiply last terms: Finally, we multiply the last terms: (−3x)×(3x)=−9x2.
Combine all products: Now, we combine all the products: 16x12+12x7−12x7−9x2.
Cancel like terms: We notice that the terms 12x7 and −12x7 are like terms and will cancel each other out: 16x12+0−9x2.
Final simplified expression: The final simplified expression is 16x12−9x2.