Solve the following problem:
Solve the following problem:
Solve the following equation. First, we'll simplify the algebraic expressions by using the abbreviated multiplication formula for difference of squares:
We will then apply the mentioned rule and open the parentheses in the expression in the equation:
In the final stage, we distributed the exponent over the parentheses to both multiplication terms inside the parentheses, according to the laws of exponents:
Let's continue and combine like terms, by moving terms:
Next - we can observe that the equation is of the second degree and that the coefficient of the first-degree term is 0. Hence we'll try to solve it using repeated use (in reverse) of the abbreviated multiplication formula for the difference of squares mentioned earlier:
From here remember that the product of expressions will yield 0 only if at least one of the multiplying expressions equals zero,
Therefore we obtain two simple equations and we'll proceed to solve them by isolating the unknown in each:
or:
Let's summarize the solution to the equation:
Therefore the correct answer is answer B.