Question
What is the relationship between the sign of the binomial and the sign of the second term in the product?
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: binomial.
Let’s say the binomial is a + b
If we find its square
(a + b)2 = (a + b)(a + b) = a(a + b) +b(a + b)
= a2 + ab + ab + b2
= a2 + 2ab + b2
Similarly if we take binomial a - b
If we find its square
(a - b)2 = (a-b)(a-b) = a(a-b) -b(a-b)
= a2 - ab - ab + b2
= a2 - 2ab + b2
So, from both the results we can see that the sign of second term in the product is same as the binomial.
Final Answer:
Hence, the sign of second term in the product is same as the binomial.
Similarly if we take binomial a - b
If we find its square
So, from both the results we can see that the sign of second term in the product is same as the binomial.
Final Answer:
Hence, the sign of second term in the product is same as the binomial.
Related Questions to study
Find the product. (2𝑥 − 1)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Find the product. (2𝑥 − 1)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is
The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is
Find the product. (𝑥 + 9)(𝑥 + 9)
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Find the product. (𝑥 + 9)(𝑥 + 9)
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Geeta spends 803.94 to buy a necklace and bracelet set for each of her friends. Each
necklace costs Rs 7.99 and each bracelet cost 5.89, how many necklace and bracelet
What sets did she buy?
Geeta spends 803.94 to buy a necklace and bracelet set for each of her friends. Each
necklace costs Rs 7.99 and each bracelet cost 5.89, how many necklace and bracelet
What sets did she buy?
Use either the square of a binomial or difference of squares to find the area of the square.
Use either the square of a binomial or difference of squares to find the area of the square.
Use a table to find the product.
(2𝑥 + 1) (4𝑥 + 1)
Use a table to find the product.
(2𝑥 + 1) (4𝑥 + 1)
Graph the equation 
on a coordinate plane.
Graph the equation on a coordinate plane.
Use a table to find the product.
(𝑥 − 6) (3𝑥 + 4)
Use a table to find the product.
(𝑥 − 6) (3𝑥 + 4)
Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?
Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?
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.
The constant term in the product (𝑥 + 3) (𝑥 + 4) is
The constant term in the product (𝑥 + 3) (𝑥 + 4) is
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
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
Write the product in standard form. (𝑥 − 4)(𝑥 + 4)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in standard form. (𝑥 − 4)(𝑥 + 4)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
