Question

what must be added to x⁴-x³+x²-5x to get x⁴-x2+4? ​

Answer 1

do it again and yourself

Answer 2

Answer:

Given⤵

➡ x⁴-x³+x²-5x and x⁴-x2+4.

To find ⤵

➡Value which added to x⁴-x³+x²-5x to get x⁴-x2+4.

Solution⤵

⚫Let assume as what added in 5 to get 8 . Then in simple way we subtract 5 from 8. Then it comes 3.If we add 3 in 5 then it come 8.

⚫Similarly, In this question if we x⁴-x³+x²-5x subtract from x⁴-x2+4 then the answer came.

➡x⁴-x²+4-(x⁴-x³+x²-5x)

➡x⁴-x²+4-x⁴+x³-x²+5x

➡x⁴-x⁴+x³-x²-x²+5x+4

➡x³-2x²+5x+4

✅Hence ,x³-2x²+5x+4 is added to x⁴-x³+x²-5x then we get x⁴-x2+4.

Proof ⤵

➡x³-2x²+5x+4+x⁴-x³+x²-5x= x⁴-x²+4

➡x⁴+x³-x³-2x²+x²+5x-5x+4=x⁴-x²+4

➡x⁴-x²+4=x⁴-x²+4

LHS= RHS

Extra points⤵

✡If it is given that what must be added in A to A+B then we Subtract A From A+B, which comes B.

(A+B) -A➡A+B-A➡B

Proof :- A+B= A+B

LHS=RHS

Hope this is helpful to you!