Final answer:
To find the area in standard form of the expression (4x+1)(6x-9), you can multiply the binomials using the FOIL method. Simplifying further gives the area as 24x^2 - 30x - 9.
Step-by-step explanation:
The given expression is a polynomial expression that needs to be multiplied to find the area in standard form. To multiply the binomials, you can use the FOIL method. FOIL stands for First, Outer, Inner, Last.
First, multiply the first terms of each binomial: (4x)(6x) = 24x^2.
Outer, multiply the outer terms of each binomial: (4x)(-9) = -36x.
Inner, multiply the inner terms of each binomial: (1)(6x) = 6x.
Last, multiply the last terms of each binomial: (1)(-9) = -9.
Finally, combine the like terms obtained from multiplying each term: 24x^2 - 36x + 6x - 9. Simplifying further gives the area in standard form as
24x^2 - 30x - 9.
Learn more about Multiplying Binomials