Question

(2x+ 2) +(3 - 5x) 4.) (3x3 - 4x4) +(2x + 5x4)​

Answer 1

To simplify the given expressions, we combine the like terms. In the first expression, we combine the constants and the coefficients. In the second expression, we combine the coefficients of the same exponent.

Step-by-step explanation:

To simplify the expression (2x+2)+(3-5x), we will first combine the like terms. The like terms are the constants (2 and 3) and the coefficients of 'x' (-5x and 2x). Combining the constants gives us 5, and combining the coefficients gives us -3x. Therefore, the simplified expression is 5-3x.

Similarly, to simplify the expression (3x^3-4x^4)+(2x+5x^4), we need to combine the like terms. The like terms here are the coefficients of 'x^3' and 'x^4'. Combining the coefficients gives us -4x^4+5x^4 and 3x^3+2x. Simplifying further, we have x^4+3x^3+2x.

Answer 2

1.
`\boxed{ \bold{ \sf{ - 3x + 5}}}`

2.
`\boxed{ \bold{ \sf{ {x}^(4) + 3 {x}^(3) + 2x}}}`

Step-by-step explanation:

1.
`\sf{(2x + 2) + (3 - 5x)}`

When there is a ( + ) in front of expression in parentheses , the expression remains the same.

⇒
`\sf{2x + 2 + 3 - 5x}`

Collect like terms

⇒
`\sf{ - 3x + 2 + 3}`

Add the numbers

⇒
`\sf{ - 3x + 5}`

2.
`\sf{( {3x}^(3) - 4 {x}^(4) ) + (2x + 5 {x}^(4)) }`

When there is a ( + ) in front of expression in parantheses , the expression remains the same

⇒
`\sf{3 {x}^(3) - 4 {x}^(4) + 2x + {5x}^(4) }`

Collect like terms

⇒
`\sf{ {x}^(4) + 3 {x}^(3) + 2x}`

Hope I helped!

Best regards!!