Question
Write the product in standard form. (2𝑥 + 5)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: 25
(2𝑥 + 5)2 can be written as (2𝑥 + 5)(2𝑥 + 5)
(2𝑥 + 5)(2𝑥 + 5) = 2x(2x + 5) + 5(2x + 5)
= 2x(2x) + 2x(5) + 5(2x) + 5(5)
= 4x2 + 10x + 10x + 25
= 4x2 + 20x + 25
Final Answer:
Hence, the simplified value of (2𝑥 + 5)2 is 4x2 + 20x + 25.
Final Answer:
Hence, the simplified value of (2𝑥 + 5)2 is 4x2 + 20x + 25.
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Related Questions to study
Write the product in standard form. (𝑥 − 7)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Write the product in standard form. (𝑥 − 7)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
(𝑥 + 9)(𝑥 + 9) =
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
(𝑥 + 9)(𝑥 + 9) =
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Find the area of the rectangle.
Find the area of the rectangle.
The table below shows the distance a train traveled over time. How can you determine the equation that represents this relationships.
The table below shows the distance a train traveled over time. How can you determine the equation that represents this relationships.
Simplify: 4x2(7x -5) -6x2(2 -4x)+ 18x3
Simplify: 4x2(7x -5) -6x2(2 -4x)+ 18x3
(𝑎 + (−3))2 =
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
(𝑎 + (−3))2 =
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Use the table method to multiply a binomial with a trinomial.
(−3𝑥2 + 1) (2𝑥2 + 3𝑥 − 4)
Use the table method to multiply a binomial with a trinomial.
(−3𝑥2 + 1) (2𝑥2 + 3𝑥 − 4)
(𝑥 − 2)2 =
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
(𝑥 − 2)2 =
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
