Question

Subtract:x³-x²+2x-19 from 20-3x+4x²-x³​

Answer 1

Answer:

39-5^x+5^x2-2^x3

Step-by-step explanation:

Answer 2

Topic

Operations on Algebraic Expressions

Given

Two Algebraic Expressions

x³ - x² + 2x - 19 and

20 - 3x + 4x² - x³

Method

Collect all terms of same power and then subtract.

Solving

$20 - 3x + 4 {x}^{2} - {x}^{3} - ( {x}^{3} - {x}^{2} + 2x - 19) \\ 20 - 3x + 4 {x}^{2} - {x}^{3} - {x}^{3} + {x}^{2} - 2x + 19 \\ - {x}^{3} - {x}^{3} + 4 {x}^{2} + {x}^{2} - 3x - 2x + 20 + 19 \\ - 2 {x}^{3} + 5 {x}^{2} - 5x + 39$

Answer

So, answer is

-2x³ + 5x² - 5x + 39

Learn More :-

If there are three algebraic expression a, b and c

We can apply, some properties

Commutative Property

a + b = b + a

Associative Property

( a + b ) + c = a + ( b + c )

Distributive Property

( a + b ) * c = ac + bc