Expand the following expression: 𝑐(3−𝑐)c(3−c)
Question
Expand the following expression: 𝑐(3−𝑐)c(3−c)
Solution
The expression is already given as c(3-c)c(3-c). To expand it, we will use the distributive property of multiplication over addition/subtraction. Here are the steps:
- Multiply the first term in the first bracket by the terms in the second bracket: c * c = c^2 and c * (3 - c) = 3c - c^2
- Multiply the second term in the first bracket by the terms in the second bracket: (3 - c) * c = 3c - c^2 and (3 - c) * (3 - c) = 9 - 6c + c^2
So, the expanded form of the expression c(3-c)c(3-c) is:
c^2 + 3c - c^2 + 3c - c^2 + 9 - 6c + c^2
Simplify the expression by combining like terms:
c^2 - c^2 + c^2 + 3c + 3c - 6c + 9
This simplifies to:
c^2 + 9
So, the expanded form of the expression c(3-c)c(3-c) is c^2 + 9.
Similar Questions
Expand and simplify the following expression: (𝑔−3)2(g−3) 2
Expand and simplify the following expression:6(𝑥+7)−3(4𝑥−2)
Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:2(c−3)−d+5d23−c2(𝑐−3)−𝑑+5𝑑23−𝑐Answer:How many terms are there in the expression? What is the value of the coefficient of d𝑑? For what value of c𝑐 is the expression undefined? c=𝑐= 2 attempts remaining
Expand and simplify the following expression: (ℎ+2)(ℎ−2)(h+2)(h−2)
Expand the following expression: (𝑐+6)(𝑐+2)(c+6)(c+2)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.