Question

Subtract 5a(b+c-4a) – 2b( a-b+c) from 4a(2a-7b+4c)​

Answer 1

Answer:

Step-by-step explanation:

First find the sum of all terms

\begin{gathered}a + 3b - 4c \\ \\ 4a - b + 9c \\ \\ - a - 2b + 3c \\ \\ sum \: of \: all \: terms = \\ a + 4a - a + 3b - b - 2b - 4c + 9c + 3c \\ \\ = 4a + 8c \\ \\ \end{gathered}

a+3b−4c

4a−b+9c

−a−2b+3c

sumofallterms=

a+4a−a+3b−b−2b−4c+9c+3c

=4a+8c

Now subtract

\begin{gathered} = 4a + 8c - (2a - 3b + 4c) \\ \\ = 4a - 2a + 3b + 8c - 4c \\ \\ = 2a + 3b + 4c \\ \\ \end{gathered}

=4a+8c−(2a−3b+4c)

=4a−2a+3b+8c−4c

=2a+3b+4c

Hope it helps you.