Question

Factorize 21 × ⁴y⁵ - 7× ³y² + 14 × ³y⁴​

Answer 1

To factorize 21x⁴y⁵ - 7x³y² + 14x³y⁴, we can factor out the greatest common factor (GCF) from all three terms. The GCF of the three terms is x³y².

So we can write:

21x⁴y⁵ - 7x³y² + 14x³y⁴ = x³y²(21x y³ - 7 + 14x²y²)

We can simplify further by combining the constants:

21x y³ - 7 + 14x²y² = 21x y³ + 14x²y² - 7

So the expression can be factorized as:

x³y²(21x y³ + 14x²y² - 7)

This is the factorization of 21x⁴y⁵ - 7x³y² + 14x³y⁴.