Final answer:
To factor completely the expression -26x²y⁴z² + 43x⁵y⁶z⁵, we can first identify the common factors among the terms and then factor them out. The factored expression is x²y⁴z²(-26 + 43x³yz³).
Step-by-step explanation:
To factor completely the expression -26x²y⁴z² + 43x⁵y⁶z⁵, we can first identify the common factors among the terms. The common factors in this expression are x²y⁴z². Factoring out these common factors, we have:
-26x²y⁴z² + 43x⁵y⁶z⁵ = x²y⁴z²(-26 + 43x³yz³)
The factored expression is x²y⁴z²(-26 + 43x³yz³).