Question

subtract 3a(a-4b+5c) from 4a(10c-3b+2a)

Answer 1

4A(10C-3B+2A)-3A(A-4B+5C)=40AC-12AB+8(A)^2-3(A)^2+12AB-15AC= 25AC+5(A)^2=5A(5C+A)

Answer 2

Given,

Two algebraic expressions: 3a(a-4b+5c) and 4a(10c-3b+2a)

To find,

The difference between 3a(a-4b+5c) from 4a(10c-3b+2a).

Solution,

We can simply solve this mathematical problem using the following process:

According to the question;

On subtracting the algebraic expressions 3a(a-4b+5c) from 4a(10c-3b+2a), we get;

4a(10c-3b+2a) - 3a(a-4b+5c)

= (4a)(10c) - (4a)(3b) + (4a)(2a) - (3a)(a) + (3a)(4b) - (3a)(5c)

= 40ac - 12ab + 8a^2 - 3a^2 + 12ab - 15ac

= (8a^2 - 3a^2) + (40ac - 15ac) + (-12ab + 12ab)

{by rearranging the terms}

= 5a^2 + 25ac + 0

= 5a^2 + 25ac

= 5a(a + 5c)

Hence, the difference between 3a(a-4b+5c) from 4a(10c-3b+2a) is equal to 5a(a + 5c).