What is factor 1296x^2*y^2+1536x^3*y ?

The solution to factor 1296x^2*y^2+1536x^3*y is 48x^2y(27y+32x)

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factor 1296x^2y^2+1536x^3y

factor

1296 x^{2} \cdot y^{2} + 1536 x^{3} \cdot y

48 x^{2} y (27 y + 32 x)

Solution steps

1296 x^{2} y^{2} + 1536 x^{3} y

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} y^{2} = x^{2} yy, x^{3} y = x^{2} x y

= 1296 x^{2} yy + 1536 x^{2} x y

Rewrite

1536

32 \cdot 48

Rewrite

1296

27 \cdot 48

= 27 \cdot 48 x^{2} yy + 32 \cdot 48 x^{2} x y

Factor out common term

48 x^{2} y

= 48 x^{2} y (27 y + 32 x)

16 m^{4} + 4 m^{2} \cdot n^{2} + n^{4}

\frac{( x ^{2} + 4 x + 4 )}{( 2 + 1 )}

5 20 z + 45 z

2 ∣ a + b ∣ + 3 ∣ a - b ∣ - ∣ b ∣^{2}

(3 x - 5) (2 x + 2)

What is factor 1296x^2*y^2+1536x^3*y ?
The solution to factor 1296x^2*y^2+1536x^3*y is 48x^2y(27y+32x)