Question

In: Math

Simplify fully the following expressions by combining the like terms. 9(2x − t) + 23xt + x(−4 + 5t)

Simplify fully the following expressions by combining the like terms.

9(2x − t) + 23xt + x(−4 + 5t)

Solutions

Expert Solution

we change subtraction to addition and the sign of the terms that follow.

9(2x + −t) + 23xt + x(−4 + 5t)

we use the distributive property of multiplication on the first term.

[9(2x + −t) = 9 · 2x + 9 · −t]

we use the rules for multiplying signed terms. [9 · 2x + 9 · −t = 18x + −9t]

Use the distributive property of multiplication on the third term.

[x(−4 + 5t) = x · −4 + x · 5t]

Use the rules for multiplying signed terms. [x · −4 + x · 5t = −4x + 5xt]

Substitute the results into the expression. (18x + −9t) + 23xt + (−4x + 5xt)

Remove the parentheses. 18x + −9t + 23xt + −4x + 5xt

Use the commutative property of addition to move like terms together.

18x + −4x + −18t + 23xt + 5xt

Use the associative property for addition.

(18x + −4x) + −9t + (23xt + 5xt)

we combine like terms using addition rules for signed numbers.

(14x) + −9t + (28xt)

Adding a negative term is the same as subtracting a positive term.

14x − +9t + 28xt

14x − 9t + 28xt

the simplified expression is 14x − 9t + 28xt

joseph irungu answered 2 years ago
Next > < Previous

Related Solutions

Simplify the following expression by combining like terms and give your answer. 8(2a − b − 3c) + 3(2a − b) − 4(6 − b)
Simplify the following expression by combining like terms and give your answer. 8(2a − b − 3c) + 3(2a − b) − 4(6 − b)
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean...
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean algebra (show your work and write the property you are applying). State if they cannot be simplified A. X’Y + XY B. (X + Y)(X + Y’) C. (A’ + B’) (A + B)’ D. ABC + A’B + A’BC’ E. XY + X(WZ + WZ’)
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean...
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean algebra (show your work and write the property you are applying). State if they cannot be simplified. A. A’B + AB B. XY + X(WZ + WZ’) C. X’Y’(X’+Y)(Y’+Y) D. ABC + A’B + A’BC’ E. (A+B)(AC+AC’)+AB+B Draw the circuit logic diagrams for both the original and simplified expressions.
Expand f(x) = 10 + 2x + x^4 in terms of the Legendre polynomials, showing the...
Expand f(x) = 10 + 2x + x^4 in terms of the Legendre polynomials, showing the first 5 coefficients.
1. Use Boolean algebra to simplify the following Boolean expressions to expressions containing a minimum number...
1. Use Boolean algebra to simplify the following Boolean expressions to expressions containing a minimum number of literals: (a) A’C’ + A’BC + B’C (b) (A + B + C)’(ABC)’ (c) ABC’ + AC (d) A’B’D + A’C’D + BD (e) (A’ + B)’(A’ + C’)’(AB’C)’ (f) (AE + A’B’)(C’D’ + CD) + (AC)’ 2. Obtain the truth table of the function F = (AB + C)(B + AC), express the function F in sum-of-minterms and product-of-maxterms forms, and express...
Use Laplace transformations to solve the following ODE for x(t): x¨(t) + 2x(t) = u˙(t) +...
Use Laplace transformations to solve the following ODE for x(t): x¨(t) + 2x(t) = u˙(t) + 3u(t) u(t) = e^−t Initial conditions x(0) = 1, x˙(0) = 0, u(0) = 0
9) R is the region bounded by the curves ? = x^3 , y=2x+4 , And...
9) R is the region bounded by the curves ? = x^3 , y=2x+4 , And the y-axis. a) Find the area of the region. b) Set up the integral you would use to find the volume of a solid that has R as the base and square cross sections perpendicular to the x-axis.
Let g(t) = 5t − 3 ln(t 2 ) − 4(t − 2)2 , 0.1 ≤...
Let g(t) = 5t − 3 ln(t 2 ) − 4(t − 2)2 , 0.1 ≤ t ≤ 3. a. Find the absolute maximum and minimum of g(t). b. On what intervals is g(t) concave up? Concave down?
T(1+2x)=1+x-x^2 T(1-x^2)=2-x T(1-2x+x^2)=3x-2x^2 a)compute T(-6x+3x^2) b) find basis for N(T), null space of T c) compute...
T(1+2x)=1+x-x^2 T(1-x^2)=2-x T(1-2x+x^2)=3x-2x^2 a)compute T(-6x+3x^2) b) find basis for N(T), null space of T c) compute rank of T and find basis of R(T)
. Find the Laplace transform of the functions: f(t) = 3e^5t t^3 − 6e^−t t^4 g(t)...
. Find the Laplace transform of the functions: f(t) = 3e^5t t^3 − 6e^−t t^4 g(t) = 5e^3t cos(4t) − 6e^2t sin(7t)
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT