What is expand (4d^2-2d^7)^2 ?

The solution to expand (4d^2-2d^7)^2 is 16d^4-16d^9+4d^{14}

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expand (4d^2-2d^7)^2

expand

(4 d^{2} - 2 d^{7})^{2}

16 d^{4} - 16 d^{9} + 4 d^{14}

Solution steps

(4 d^{2} - 2 d^{7})^{2}

Apply Perfect Square Formula:

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

(4 d^{2} - 2 d^{7})^{2} = (4 d^{2})^{2} - 2 \cdot 4 d^{2} \cdot 2 d^{7} + (2 d^{7})^{2}

= (4 d^{2})^{2} - 2 \cdot 4 d^{2} \cdot 2 d^{7} + (2 d^{7})^{2}

Simplify

(4 d^{2})^{2} - 2 \cdot 4 d^{2} \cdot 2 d^{7} + (2 d^{7})^{2} : 16 d^{4} - 16 d^{9} + 4 d^{14}

= 16 d^{4} - 16 d^{9} + 4 d^{14}

(2 - 2 i)^{4}

(- t^{3} + 5 t^{2} - 6 t) + (8 t^{2} - 8 t)

8 \div \frac{2}{3}

(x - 6) (x - 1)

What is expand (4d^2-2d^7)^2 ?
The solution to expand (4d^2-2d^7)^2 is 16d^4-16d^9+4d^{14}