What is factor 21a+8xy^3-24y^2-7axy ?

The solution to factor 21a+8xy^3-24y^2-7axy is (-8y^2+7a)(3-xy)

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factor 21a+8xy^3-24y^2-7axy

factor

21 a + 8 x y^{3} - 24 y^{2} - 7 a x y

(- 8 y^{2} + 7 a) (3 - x y)

Solution steps

21 a + 8 x y^{3} - 24 y^{2} - 7 a x y

Rewrite as

= 3 \cdot 7 a + 8 x y^{3} - 3 \cdot 8 y^{2} - 7 a x y

Factor out common term

3

= 3 (7 a - 8 y^{2}) + 8 x y^{3} - 7 a x y

Apply exponent rule:

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

y^{3} = y y^{2}

= 3 (- y^{2} \cdot 8 + 7 a) + 8 x y y^{2} - 7 a x y

Factor out common term

y x

= 3 (- y^{2} \cdot 8 + 7 a) + y x (8 y^{2} - 7 a)

Rewrite as

= 3 (- y^{2} \cdot 8 + 7 a) - (- y^{2} \cdot 8 + 7 a) y x

Factor out common term

(- y^{2} \cdot 8 + 7 a)

= (- y^{2} \cdot 8 + 7 a) (3 - y x)

(\frac{1}{2} x^{2} y^{3})^{4} (4 x^{5} y^{3})^{2}

5 y - \frac{3}{5} = \frac{4}{5}

x^{2} = 15 x - 56

\frac{1}{4} (\frac{1}{4} - 1)

3 x - 5 \geq 5 x + 15

What is factor 21a+8xy^3-24y^2-7axy ?
The solution to factor 21a+8xy^3-24y^2-7axy is (-8y^2+7a)(3-xy)