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3 years ago

What is the answer to this problem step by step (3+2)^2×7)-13+5^2?

Mathematics

1 answer:

Ainat [17]3 years ago

5 0

Answer:

187

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

(3 + 2)² × 7 - 13 + 5²

Step 2: Evaluate

(Parenthesis) Add: 5² × 7 - 13 + 5²
Exponents: 25 × 7 - 13 + 25
Multiply: 175 - 13 + 25
Subtract: 162 + 25
Add: 187

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Answer:

For A

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• The equation above has a common bracket "(x + 1)". So, let's first factorise out that bracket:

$\dashrightarrow \: { \rm{(x + 1) \{6 {x}^{2} - 2x \} }}$

• now in the second bracket, the common factor is x and 2.

$\dashrightarrow \: { \rm{(x + 1) \{2x(3x - 1) \}}}$

• Final answer;

${ \boxed{ \boxed{ \rm{ \dashrightarrow \: 2x(x + 1)(3x - 1) \: \: }}}}$

For B

${ \rm{3(x - 1)(x + 2) + ( {x}^{2} - x)(x + 2) }}$

• In the equation, the common bracket is (x + 2).

So let's first factorise it out:

$\dashrightarrow \: { \rm{(x + 2) \{3(x - 1) + ( {x}^{2} - x) \}}} \\ \\ { \rm{(x + 2) \{3(x - 1) + x(x - 1) \}}}$

• In the second major bracket, the common bracket is (x - 1). so factorise it out:

${ \rm{(x + 2) (x - 1) \{3 + x \}}}$

• Final answer:

${ \boxed{ \boxed{ \rm{ \dashrightarrow \: (x + 2)(x + 3)(x - 1) \: \: }}}}$

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Answer:

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Step-by-step explanation:

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