Yordam berila Tenglamani yozing (3+4x)(9-12x+16x²)

Ответ:

Sure, I can help you with that. To expand the expression \((3+4x)(9-12x+16x^2)\), you can use the distributive property (FOIL). Here's the step-by-step expansion:

\[ (3+4x)(9-12x+16x^2) \]

\[ = 3 \cdot 9 + 3 \cdot (-12x) + 3 \cdot (16x^2) + 4x \cdot 9 + 4x \cdot (-12x) + 4x \cdot (16x^2) \]

Now, simplify each term and combine like terms:

\[ 27 - 36x + 48x^2 + 36x - 48x^2 + 64x^3 \]

Finally, combine like terms:

\[ 64x^3 - 36x \]

So, \((3+4x)(9-12x+16x^2)\) simplifies to \(64x^3 - 36x\).