For all your questions, big or small, IDNLearn.com has the answers you need. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

If [tex]$x=4, y=-2, z=-1$[/tex], then evaluate: [tex]$x(x+y)^2$[/tex].

A. 36
B. [tex][tex]$147$[/tex][/tex]
C. 3
D. Answer not given


Sagot :

Let's evaluate the expression [tex]\( x(x + y)^2 \)[/tex] step by step, given the values [tex]\( x = 4, y = -2, z = -1 \)[/tex].

1. Compute the value inside the parentheses [tex]\( x + y \)[/tex]:

[tex]\[ x + y = 4 + (-2) = 4 - 2 = 2 \][/tex]

2. Square the result of [tex]\( x + y \)[/tex]:

[tex]\[ (x + y)^2 = 2^2 = 4 \][/tex]

3. Multiply the squared value by [tex]\( x \)[/tex]:

[tex]\[ x(x + y)^2 = 4 \times 4 = 16 \][/tex]

Thus, the value of [tex]\( x(x + y)^2 \)[/tex] is 16. Since the answer 16 is not listed in the provided choices a, b, c, or d, we select:

d) Answer not given