Question

# Use the square of a binomial to find the value. 56^{2}

Hint:

### The methods used to find the product of binomials are called special products.

Multiplying a number by itself is often called squaring.

For example (*x* + 3)(*x* + 3) = (*x* + 3)2

## The correct answer is: 3136.

### 56^{2} can be written as (60 - 4)^{2} which can be further written as (60 - 4)(60 - 4)

(60 - 4)(60 - 4) = 60(60 - 4) - 4(60 - 4)

= 60(60) + 60(-4) - 4(60) - 4(-4)

= 3600 - 240 - 240 + 16

= 3600 - 480 + 16

= 3136

Final Answer:

Hence, the value of 56^{2} is 3136.

Final Answer:

Hence, the value of 56

^{2}is 3136.

### Related Questions to study

### Is the given conjecture correct? Provide arguments to support your answer.

The product of any two consecutive odd numbers is 1 less than a perfect square.

### Is the given conjecture correct? Provide arguments to support your answer.

The product of any two consecutive odd numbers is 1 less than a perfect square.

### Name the polynomial based on its degree and number of terms.

### Name the polynomial based on its degree and number of terms.

### In an academic contest correct answers earn 12 points and incorrect answers lose 5

points. In the final round, school A starts with 165 points and gives the same number

of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied.

ii)How many answers did each school get correct in the final round?

A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are two integers and x is a variable. 2x+3=8, for example, is a linear equation with a single variable. As a result, this equation has only one solution, x = 5/2.

¶The standard form of a linear equation in one variable is: ax + b = 0

Where,

The letters 'a' and 'b' are real numbers.

'a' and 'b' are both greater than zero.

### In an academic contest correct answers earn 12 points and incorrect answers lose 5

points. In the final round, school A starts with 165 points and gives the same number

of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied.

ii)How many answers did each school get correct in the final round?

A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are two integers and x is a variable. 2x+3=8, for example, is a linear equation with a single variable. As a result, this equation has only one solution, x = 5/2.

¶The standard form of a linear equation in one variable is: ax + b = 0

Where,

The letters 'a' and 'b' are real numbers.

'a' and 'b' are both greater than zero.

### Determine the equation of the line that passes through

### Determine the equation of the line that passes through

### Is the given conjecture correct? Provide arguments to support your answer.

The product of any two consecutive even numbers is 1 less than a perfect square

### Is the given conjecture correct? Provide arguments to support your answer.

The product of any two consecutive even numbers is 1 less than a perfect square

### Identify a linear polynomial.

### Identify a linear polynomial.

### Find the value of x. Identify the theorem used to find the answer.

### Find the value of x. Identify the theorem used to find the answer.

### identify a cubic polynomial.

### identify a cubic polynomial.

### Find the value of 𝑚 & 𝑛 to make a true statement.

(𝑚𝑥 + 𝑛𝑦)^{2} = 4𝑥^{2} + 12𝑥𝑦 + 9𝑦^{2}

### Find the value of 𝑚 & 𝑛 to make a true statement.

(𝑚𝑥 + 𝑛𝑦)^{2} = 4𝑥^{2} + 12𝑥𝑦 + 9𝑦^{2}

### 37. In an academic contest correct answers earn 12 points and incorrect answers lose 5

points. In the final round, school A starts with 165 points and gives the same number

of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied.

i)Which equation models the scoring in the final round and the outcome of the contest

**Different Types of Variables**

### 37. In an academic contest correct answers earn 12 points and incorrect answers lose 5

points. In the final round, school A starts with 165 points and gives the same number

of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied.

i)Which equation models the scoring in the final round and the outcome of the contest

**Different Types of Variables**