What is expand (5d-7d^2t)^2 ?

The solution to expand (5d-7d^2t)^2 is 25d^2-70d^3t+49d^4t^2

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expand (5d-7d^2t)^2

expand

(5 d - 7 d^{2} t)^{2}

25 d^{2} - 70 d^{3} t + 49 d^{4} t^{2}

Solution steps

(5 d - 7 d^{2} t)^{2}

Apply Perfect Square Formula:

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

(5 d - 7 d^{2} t)^{2} = (5 d)^{2} - 2 \cdot 5 d \cdot 7 d^{2} t + (7 d^{2} t)^{2}

= (5 d)^{2} - 2 \cdot 5 d \cdot 7 d^{2} t + (7 d^{2} t)^{2}

Simplify

(5 d)^{2} - 2 \cdot 5 d \cdot 7 d^{2} t + (7 d^{2} t)^{2} : 25 d^{2} - 70 d^{3} t + 49 d^{4} t^{2}

= 25 d^{2} - 70 d^{3} t + 49 d^{4} t^{2}

(3 a - 2 b)^{5}

6 x - 3 x + 2 x^{2} + 3 x + x^{2}

\frac{9 x ^{8} y ^{7}}{27 x y ^{3}}

\frac{\frac{x}{9}}{9}

\frac{3 + 5 i}{5 i}

What is expand (5d-7d^2t)^2 ?
The solution to expand (5d-7d^2t)^2 is 25d^2-70d^3t+49d^4t^2