Chapter 5: Q 5.53 (page 526)

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

Short Answer

Expert verified

(a) $x^{2} + 9 \times x + 8 \times x + 8 \times 9 x^{2} + 9 x + 8 x + 72 x^{2} + 17 x + 72$ $x \times x + x \times 9 + 8 \times x + 8 \times 9 x^{2} + 9 x + 8 x + 72 x^{2} + 17 x + 72$

(b) $3 c \times 5 c - 3 c \times 2 + 4 \times 5 c - 8 15 c^{2} - 6 c + 20 c - 8 15 c^{2} + 14 c - 8$

Step by step solution

Step 1

Given Information:

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

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.

Step 3

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

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

Distribute again: $x^{2} + 9 x + 8 x + 72$

Combine like terms: $x^{2} + 17 x + 72$

Step 4

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

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

Distribute again: $15 c^{2} - 6 c + 20 c - 8$

Combine like terms: $15 c^{2} + 14 c - 8$

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

Short Answer

Step by step solution

Step 1

Step 2

Step 3

Step 4

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

Short Answer

Step by step solution

Step 1

Step 2

Step 3

Step 4

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Mechanics Maths

Pure Maths

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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