To solve (x + 3)3, expand it by multiplying (x + 3) × (x +3) × (x + 3). This results in the final expansion: x3 + 9x2 + 27x + 27. Alternatively, you can use the Binomial Theorem for the same result.
To expand the expression 2(x + 3), we will use the distributive property of multiplication over addition. The distributive property states that for any numbers a, b, and c, the equation a(b +c) = ab + ac holds true.
The binomial theorem is a well-established mathematical principle, widely covered in algebra courses and available in textbooks, which can confirm that the expansion of (a + b)n is valid for any non-negative integer n.
An example to support this would be to use specific values for x. If x = 1, then substituting into the expression gives (1+ 2)(1 + 3) = 3 × 4 = 12. The expanded form would also yield 12 + 5(1) + 6 = 1 + 5+ 6 = 12, verifying the result.
The expanded and simplified form of the expression (x +3)(x − 3)(3x +2) is 3x3 + 2x2 − 27x −18. This was achieved by first simplifying the product of the two binomials using the difference of squares, then distributing over the third term. The final result combines all like terms from the expansion.
The y-intercept (b) is 3, meaning the line crosses the y-axis at the point (0, 3). To graph this equation, you can start by plotting the point (0, 3). From there, use the slope to find another point: move 1 unit to the right (to x = 1) and then 2 units up (to y = 5), giving the point (1, 5).
Let's expand and simplify the expression (x + 3)(x − 4) step-by-step. Apply the Distributive Property: We'll use a method called the distributive property (also known as the FOIL method in this case) to expand the expression.
To solve the equation ∣x +3∣ = 8, we will consider the definition of absolute value. Absolute value refers to the distance of a number from zero on the number line, regardless of direction. Thus, the expression ∣x +3∣ can equal 8 in two different situations: Case 1: When the expression inside the absolute value is equal to 8. Start with the equation: x + 3 = 8. Solve for x by ...
The expression (x + 3)(x + 5) can be expanded using the distributive property. It simplifies to x2 +8x +15. This result combines like terms after applying FOIL for binomials.
Free Mathematics solutions and answers Community Answer Express ( x + 3 ) 2 (x+3) 2 as a trinomial in standard form Community Answer This answer has a 5.0 rating 5.0
