Question

Subtract: (4x5 + 8x5 + 3x) from (3x2 + 6x2 + 9x)

Answer 1

`12x^5-9x^2-6x`

Explanation:

`\left(4x^5+8x^5+3x\right)-\left(3x^2+6x^2+9x\right)`

`4x^5+8x^5+3x-\left(3x^2+6x^2+9x\right)`

`(4x^5+8x^5):12x^5` ( Combine like terms)

`12x^5+3x-\left(3x^2+6x^2+9x\right)` (Apply the distributive law)

`12x^5+3x-9x^2-9x`

`(3x-9x):-6x` ( Combine like terms)

`12x^5-9x^2-6x`

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Answer 2

`\sf 9x^2 - 12x^5 +6x`

solving steps:

`\hookrightarrow \sf (3x^2 + 6x^2 + 9x )- (4x^5 + 8x^5 + 3x)`

remove parenthesis

`\hookrightarrow \sf 3x^2 + 6x^2 + 9x - 4x^5 - 8x^5 - 3x`

group variables

`\hookrightarrow \sf 3x^2 + 6x^2 - 4x^5 - 8x^5 - 3x+ 9x`

simplify

`\hookrightarrow \sf 9x^2 - 12x^5 +6x`