donte simplified the expression below.\n4(1 + 3i)-(8 - 5i)\n4 + 3i-8 + 5i\n-4 + 8i\nwhat mistake did donte…

donte simplified the expression below.\n4(1 + 3i)-(8 - 5i)\n4 + 3i-8 + 5i\n-4 + 8i\nwhat mistake did donte make?\nhe did not apply the distributive property correctly for 4(1 + 3i).\nhe did not distribute the subtraction sign correctly for 8 - 5i.\nhe added the real number and coefficient of i in 4(1 + 3i).\nhe added the two complex numbers instead of subtracted.

donte simplified the expression below.\n4(1 + 3i)-(8 - 5i)\n4 + 3i-8 + 5i\n-4 + 8i\nwhat mistake did donte make?\nhe did not apply the distributive property correctly for 4(1 + 3i).\nhe did not distribute the subtraction sign correctly for 8 - 5i.\nhe added the real number and coefficient of i in 4(1 + 3i).\nhe added the two complex numbers instead of subtracted.

Answer

Explanation:

Step1: Expand the first - part

When expanding (4(1 + 3i)) using the distributive property (a(b + c)=ab+ac), we should get (4\times1+4\times3i=4 + 12i), not (4+3i). Donte did not apply the distributive property correctly for (4(1 + 3i)).

Step2: Analyze the subtraction part

The correct expansion of (4(1 + 3i)-(8 - 5i)) is (4+12i-8 + 5i). The subtraction of ((8 - 5i)) is equivalent to (-8+5i) which is correct in terms of distributing the subtraction sign.

Answer:

He did not apply the distributive property correctly for (4(1 + 3i)).