Question

choose the HCF of 6xy^3 and 9x^2y

Answer 1

Answer:

3xy

Step-by-step explanation:

$6x {y}^{3} = 2 \times 3 \times x \times y \times y \times y \\ 9 {x}^{2} y = 3 \times 3 \times x \times x \times y \\ \\ common \: factors = 3, \: x, \: y \\ \therefore \: HCF = 3\times x\times y\\

\therefore \: HCF = 3xy$

Answer 2

The HCF of 6xy³ and 9x²y is 3xy

WHAT IS H.C.F:

• H.C.F stands for highest common factor. The highest common factor of 6xy³ and 9x²y is calculated as follows:

• First, we divide both algebraic terms by a common factor, which is a number i.e. 3

6xy³ ÷ 3 = 2xy³

9x²y ÷ 3 = 3x²y

• Next, we divide the remainder by their common factor, which is a letter (xy)

2xy³ ÷ xy = 2y²

3x²y ÷ xy = 3x

• The remaining terms do not have a common factor, and hence, we multiply the factors we used previously i.e. 3 and xy.

3 × xy = 3xy

• Therefore, the HCF of 6xy³ and 9x²y is 3xy.

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