What is expand (4x^3-7y^2)^2 ?

The solution to expand (4x^3-7y^2)^2 is 16x^6-56x^3y^2+49y^4

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expand (4x^3-7y^2)^2

expand

(4 x^{3} - 7 y^{2})^{2}

16 x^{6} - 56 x^{3} y^{2} + 49 y^{4}

Solution steps

(4 x^{3} - 7 y^{2})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(4 x^{3} - 7 y^{2})^{2} = (4 x^{3})^{2} - 2 \cdot 4 x^{3} \cdot 7 y^{2} + (7 y^{2})^{2}

= (4 x^{3})^{2} - 2 \cdot 4 x^{3} \cdot 7 y^{2} + (7 y^{2})^{2}

Simplify

(4 x^{3})^{2} - 2 \cdot 4 x^{3} \cdot 7 y^{2} + (7 y^{2})^{2} : 16 x^{6} - 56 x^{3} y^{2} + 49 y^{4}

= 16 x^{6} - 56 x^{3} y^{2} + 49 y^{4}

7 \cdot 28

(- sin (x))^{2} + (cos (x))^{2}

- \frac{3}{2} \cdot (- \frac{2}{3})

\frac{2 + i}{1 - 2 i}

(\frac{x ^{- 3} y ^{- 1} z ^{- 2}}{2 x ^{- 3} y ^{- 1}})^{2}

What is expand (4x^3-7y^2)^2 ?
The solution to expand (4x^3-7y^2)^2 is 16x^6-56x^3y^2+49y^4