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)
= 4x2 - 2x - 2x + 1
= 4x2 - 4x + 1
Final Answer:
Hence, the simplified value of (2𝑥 − 1)2 is 4x2 - 4x + 1.
Final Answer:
Hence, the simplified value of (2𝑥 − 1)2 is 4x2 - 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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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
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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
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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)2 = a2 + 2ab + b2