Question

What is the factored form of the expression 14x⁴ y² + 42x³ y⁶?

A)14x³y² (x+3y⁴)

B) 14x³ y² (x−3y⁴)

C) 14x³ y² (x² +3y⁴)

D) 14x³ y² (x² −3y⁴)

Answer 1

The factored form of the expression 14x⁴ y² + 42x³ y⁶ is 14x³ y² (x + 3y⁴).

Step-by-step explanation:

The student asked for the factored form of the expression 14x⁴ y² + 42x³ y⁶. To factor this expression, we first look for common factors in both terms. We can see that both terms have a common factor of 14x³ y².

Factoring out 14x³ y², the expression becomes:

14x³ y² (
x + 3y⁴)

Therefore, the factored form of the expression is 14x³ y² (x + 3y⁴), which corresponds to option A.