Question

# Find the product. (2𝑥 − 1)^{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: 1

### (2𝑥 − 1)^{2} can be written as (2𝑥 − 1)(2𝑥 − 1)

(2x − 1)(2x − 1) = 2x(2x - 1) - 1(2x - 1)

= 2x(2x) + 2x(-1) - 1(2x) - 1(-1)

= 4x^{2} - 2x - 2x + 1

= 4x^{2} - 4x + 1

Final Answer:

Hence, the simplified value of (2𝑥 − 1)^{2} is 4x^{2} - 4x + 1.

^{2}- 2x - 2x + 1

^{2}- 4x + 1

Final Answer:

Hence, the simplified value of (2𝑥 − 1)

^{2}is 4x

^{2}- 4x + 1.

This question can be easily solved by using the formula

(a - b)2 = a2 - 2ab + b2

### Related Questions to study

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### The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is

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### Graph the equation

We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.

### Graph the equation

We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.

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This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

### Write the product in standard form. (3𝑦 − 5)(3𝑦 + 5)

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

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This question can be easily solved by using the formula

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This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

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This question can be easily solved by using the formula

(a + b)2 = a2 + 2ab + b2