Question

`\tt(6x4−2x3 +7x2 −x) + ( 7x4+ 2x3−5x + 7)`


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With Solution!!​​

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

Let's solve ~

`\qquad \tt \dashrightarrow \:\tt(6x {}^(4) −2x {}^(3) +7x {}^(2) −x) + ( 7x {}^(4) + 2x {}^(3) −5x + 7)`

`\qquad \tt \dashrightarrow \:\tt6x {}^(4) −2x {}^(3) +7x {}^(2) −x + 7x {}^(4) + 2x {}^(3) −5x + 7`

Now, move all like terms aside :

`\qquad \tt \dashrightarrow \:6 {x}^(4) + 7 {}x^(4) - 2 {x}^(3) + 2 {x}^(3) + 7 {x}^(2) - x - 5x + 7`

Add the like terms ~

`\qquad \tt \dashrightarrow \:13 {}x^(4) + 7 {x}^(2) + 6x + 7`

Answer 2

13(x)⁴ + 7(x)²-6(x) + 7

Step-by-step explanation:

`\hookrightarrow \sf (6x^4 -2x^3+7x^2-x)+(7x^4+2x^3-5x+7)`

remove the parenthesis

`\sf \hookrightarrow 6x^4-2x^3+7x^2-x+7x^4+2x^3-5x+7`

group the variables

`\hookrightarrow \sf 6x^4+7x^4-2x^3+2x^3+7x^2-x-5x+7`

add similar terms

`\sf \hookrightarrow 13x^4+7x^2-x-5x+7`

simplify

`\hookrightarrow \sf 13x^4+7x^2-6x+7`