Math Problem Statement

Which expression is equivalent to –

w−14(4)w−14(4)

A.w−0w−0

B.w−1w−1

C.−14w(4)−14w(4)

D.34w(4)34w(4)

what is the aswner

Solution

Let's analyze the given expression:

w14(4)w14(4)w - 14(4)w - 14(4)

This expression appears to involve the repetition of w14(4)w - 14(4) twice, suggesting it could be written as:

(w14(4))×(w14(4))(w - 14(4)) \times (w - 14(4))

From the previous analysis, we know that:

w14(4)=w56w - 14(4) = w - 56

So, the expression becomes:

(w56)×(w56)(w - 56) \times (w - 56)

This is simply:

(w56)2(w - 56)^2

Now let's go through the options:

A. w0×w0w - 0 \times w - 0 — This simplifies to w2w^2, which is not the same as (w56)2(w - 56)^2.

B. w1×w1w - 1 \times w - 1 — This simplifies to (w1)2(w - 1)^2, which is also not the same as (w56)2(w - 56)^2.

C. 14w(4)×14w(4)-14w(4) \times -14w(4) — This expression involves multiplying ww, which is not the original expression.

D. 34w(4)×34w(4)34w(4) \times 34w(4) — This expression is also incorrect as it involves a factor of 34, which is not part of the original expression.

None of the given options

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponents
Simplification

Formulas

(a - b)^2 = a^2 - 2ab + b^2

Theorems

Square of a Binomial

Suitable Grade Level

Grades 9-10