SENSEI AI
About App

The problem is to multiply two binomials: $(3w+2a)(9b-5d)$.

AlgebraBinomialsFOIL methodDistributive PropertyPolynomials
2025/3/17

1. Problem Description

The problem is to multiply two binomials: (3w+2a)(9b−5d)(3w+2a)(9b-5d).

2. Solution Steps

We will use the distributive property (also known as the FOIL method) to multiply the two binomials.
(3w+2a)(9b−5d)=3w(9b)+3w(−5d)+2a(9b)+2a(−5d)(3w+2a)(9b-5d) = 3w(9b) + 3w(-5d) + 2a(9b) + 2a(-5d)
=27wb−15wd+18ab−10ad= 27wb - 15wd + 18ab - 10ad

3. Final Answer

27wb−15wd+18ab−10ad27wb - 15wd + 18ab - 10ad

Related problems in "Algebra"

The image contains several math problems. Question 4 asks to find the value of $x$ that satisfies th...

LogarithmsBinomial TheoremPartial FractionsEquation Solving
2025/5/1

The problem has three questions. Question 1: Given the equation $3^{a-2} = 5$, find the value of $a$...

ExponentsRadical EquationsLinear EquationsWord ProblemsLogarithms
2025/5/1

We are given the following equations: $log_2 a = x$ $log_2 b = x+1$ $log_2 c = 2x+3$ We are asked to...

LogarithmsAlgebraic ManipulationExponentsEquation Solving
2025/5/1

We are asked to solve three math problems. Problem 16: Find the correct value of $m$ in the equation...

ExponentsLogarithmsBinomial TheoremEquations
2025/5/1

The first problem (number 14) states that $log_2 a = x$, $log_2 b = x+1$, and $log_2 c = 2x+3$. We n...

LogarithmsLinear EquationsSystems of EquationsExponentsBinomial Theorem
2025/5/1

We are given the first four terms of the binomial expansion of $(1 - \frac{1}{2}x)^8$ as $1 + ax + b...

Binomial TheoremQuadratic EquationsVieta's FormulasRadical Equations
2025/5/1

We are given a series of math problems. We need to solve problem number 15. The problem states: Thre...

Linear EquationsWord ProblemSystems of Equations
2025/5/1

A trader sells big, medium, and small yams. The prices are: GH$12.00 for each big yam, GH$20.00 for ...

Word ProblemsLinear EquationsSystems of Equations
2025/5/1

A woman bought 3 shirts and 4 skirts and paid $780.00$. A shirt costs $15.00$ more than a skirt. We ...

Linear EquationsWord ProblemsSystems of Equations
2025/5/1

We are given three natural numbers whose sum is 70. The first number is two-thirds of the second num...

Linear EquationsWord ProblemSystems of Equations
2025/5/1