Final answer to the problem
$f\left(x\right)=16x^{6}-4x^{4}-11x^2+6x+9+16x^{5}-28x^{3}$
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Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the expression f(x)=(4x^3+2x^2-x+-3)^2. Expand the trinomial using the formula \left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. When multiplying exponents with same base we can add the exponents. The power of a product is equal to the product of it's factors raised to the same power. Multiply the single term 8x^3 by each term of the polynomial \left(-x-3\right).
Final answer to the problem
$f\left(x\right)=16x^{6}-4x^{4}-11x^2+6x+9+16x^{5}-28x^{3}$
