What is the following product ?
Answer:
The correct answer is option B). 7x² -12x√14 + 72
Step-by-step explanation:
Identity
(a - b)² = a² - 2ab + b²
Find the product
It is given that ( x√7 - 3√8)(x√7 - 3√8)
(x√7 - 3√8)(x√7 - 3√8) = (x√7 - 3√8)²
(x√7 - 3√8)² = (x√7)² - 2*x√7*3√8 +(3√8)²
= 7x² - 6x√56 + 72
= 7x² - 6x*2√14 + 72
= 7x² - 12x√14 + 72
Therefore the correct answer is option B). 7x² - 12x√14 + 72
Answer:
Choice b is correct. 7x²-12x√14+72 is answer.
Step-by-step explanation:
We have given the expression.
We have to find the product of given expression.
For this, we use the following formula:
(a-b) = a²-2ab+b²
Rewrite the given expression in the form:
(x√7 - 3√8)(x√7 - 3√8) = (x√7 - 3√8)²
Using the above formula in this expression.
(x√7 - 3√8)² = (x√7)²- 2(x√7)(3√8) + (3√8)²
(x√7 - 3√8)² = 7x² - 6x√56 + 72
(x√7 - 3√8)² = 7x²-6x *2√14 +72
(x√7 - 3√8)² = 7x²-12x√14 +72
This is the product of given expression.