Answer:
The problem to solve is:
-0.5 (-4x+2.2) -2 (1.5x -0.05)
Because of the minus sign
0.5 becomes - 0.5
The answer is -0.5
Multiply x and 4
Multiply x and 1
The x just gets copied along.
The answer is x
x
4*x evaluates to 4x
Because of the minus sign
4x becomes - 4x
The answer is -4x
-4*x+2.2 evaluates to -4x+2.2
Multiply -0.5 by -4x+2.2
we multiply -0.5 by each term in -4x+2.2 term by term.
This is the distributive property of multiplication.
Multiply -0.5 and -4x
Multiply 1 and x
The x just gets copied along.
x
-0.5 × -4x = 2x
Multiply -0.5 and 2.2
1
-0.5 × 2.2 = -1.1
-0.5*(-4*x+2.2) evaluates to 2x-1.1
Multiply x and 1.5
Multiply x and 1
The x just gets copied along.
The answer is x
x
1.5*x evaluates to 1.5x
1.5*x-0.05 evaluates to 1.5x-0.05
Multiply 2 by 1.5x-0.05
we multiply 2 by each term in 1.5x-0.05 term by term.
This is the distributive property of multiplication.
Multiply 2 and 1.5x
Multiply 1 and x
The x just gets copied along.
x
2 × 1.5x = 3x
Multiply 2 and -0.05
1
2 × -0.05 = -0.1
2*(1.5*x-0.05) evaluates to 3x-0.1
To subtract the polynomials 2x-1.1 and 3x-0.1 we try to subtract terms in one polynomialwith any like terms in the other polynomial.
Be very careful with the "-" sign in front of 3x-0.1 it is to be used on all terms in it.
2x - 3x = -x
-1.1 - -0.1 = -1
The answer is -x-1
-0.5*(-4*x+2.2)-2*(1.5*x-0.05) evaluates to -x-1
The final answer is
-x-1
Explanation: