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3 years ago

Simplify (3n - 2m)^2 = Can someone break this down for me? I don't understand why I'm having issues with this.

Mathematics

2 answers:

natta225 [31]3 years ago

8 0

Answer:

Once you simplify the given expression, your answer will be 9n² - 12mn + 4m

Step-by-step explanation:

In this problem, we are given an expression.

(3n - 2m)²

when an expression or equation is raised to the power of 2, then you are going to multiply the base term by itself. For example, if you have 2² or 16², then would you do 2 × 2 and 16 × 16 in order to solve the expressions. We will do the same for this expression.

(3n - 2m)² = (3n - 2m) × (3n - 2m)

We will use the foil method to solve this expression

(3n - 2m)(3n - 2m)

9n² - 6mn - 6mn + 4m

Combine like terms together.

9n² - 12mn + 4m

So, the simplified form of the expression is 9n² - 12mn + 4m

vfiekz [6]3 years ago

3 0

Answer:

9n² - 12mn + 4m²

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

(3n - 2m )² = (3n-2m)(3n-2m) = 3n*3n + 3n*-2m -2m*3n - 2m*-2m

= 9n² - 6nm -6mn + 4m²

= 9n² - 12mn + 4n²

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3 years ago

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