multiply (2 - 7i)(-1 + 4i).\n26 + 15i\n-2 - 28i\n26 + i\n-30 + 15i

Explanation:

Step1: Use FOIL method

$(2 - 7i)(-1 + 4i)=2\times(-1)+2\times4i-7i\times(-1)-7i\times4i$

Step2: Calculate each product

$2\times(-1)=-2$, $2\times4i = 8i$, $-7i\times(-1)=7i$, $-7i\times4i=-28i^{2}$ Since $i^{2}=-1$, then $-28i^{2}=-28\times(-1) = 28$

Step3: Combine like - terms

$-2+8i + 7i+28=(-2 + 28)+(8i+7i)=26 + 15i$

Answer:

$26 + 15i$