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Chapter 5: Problem 8

Simplify (a) \(5(3 x)\), (b) \(4(2 x)\), (c) \(8(-7 x)\)

Short Answer

Expert verified
Question: Simplify the following expressions using the distributive property of multiplication: (a) \(5(3x)\) (b) \(4(2x)\) (c) \(8(-7x)\) Answer: (a) \(15x\) (b) \(8x\) (c) \(-56x\)

Step by step solution

01

(a) Step 1: Use the distributive property

To simplify this expression, we can use the distributive property of multiplication, which states that \(a(b+c) = ab + ac\). In this case, our expression is \(5(3x)\), so we have: \(5(3x) = 5*3x = 15x\) Now let us simplify expression (b) \(4(2 x)\).
02

(b) Step 1: Use the distributive property

To simplify this expression, we can use the distributive property of multiplication again. In this case, our expression is \(4(2x)\), so we have: \(4(2x) = 4*2x = 8x\) Finally, let us simplify expression (c) \(8(-7 x)\).
03

(c) Step 1: Use the distributive property

To simplify this expression, we can use the distributive property of multiplication one more time. In this case, our expression is \(8(-7x)\), so we have: \(8(-7x) = 8*(-7)x = -56x\) Now we have simplified all three expressions: (a) \(5(3 x) = 15x\), (b) \(4(2 x) = 8x\), and (c) \(8(-7 x) = -56x\).

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Most popular questions from this chapter

Show that (a) \(\frac{n !}{(n-1) !}=n\), (b) \(\frac{(n+1) !}{(n-1) !}=n(n+1)\) (c) \(\frac{n !}{(n+1) !}=\frac{1}{n+1}\).

Remove the brackets from the given expression: \(\left(x^{2}+2\right)(3 x)\)

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