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Chapter 5: Q 5.53 (page 526)

Multiple : (a)(x+8)(x+9)

(b)(3c+4)(5c-2)

Short Answer

Expert verified

(a) x2+9脳x+8脳x+8脳9x2+9x+8x+72x2+17x+72x脳x+x脳9+8脳x+8脳9x2+9x+8x+72x2+17x+72

(b)3c脳5c-3c脳2+4脳5c-815c2-6c+20c-815c2+14c-8

Step by step solution

01

Step 1

Given Information:

(a)(x+8)(x+9)(b)(3c+4)(5c-2)

02

Step 2

Distributive Property:
Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.
03

Step 3

(a)(x+8)(x+9)

Distribute (x+9): x(x+9)+8(x+9)

Distribute again: x2+9x+8x+72

Combine like terms:x2+17x+72

04

Step 4

(b)(3c+4)(5c-2)

Distribute: 3c(5c-2)+4(5c-2)

Distribute again: 15c2-6c+20c-8

Combine like terms:15c2+14c-8

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