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Popular >

expand 4(2t-5)^2

Solution

expand

4 (2 t - 5)^{2}

Solution

16 t^{2} - 80 t + 100

Solution steps

4 (2 t - 5)^{2}

Expand

(2 t - 5)^{2} : 4 t^{2} - 20 t + 25

= 4 (4 t^{2} - 20 t + 25)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

4 (4 t^{2} - 20 t + 25) = 4 \cdot 4 t^{2} + 4 (- 20 t) + 4 \cdot 25

= 4 \cdot 4 t^{2} + 4 (- 20 t) + 4 \cdot 25

Simplify

4 \cdot 4 t^{2} + 4 (- 20 t) + 4 \cdot 25 : 16 t^{2} - 80 t + 100

= 16 t^{2} - 80 t + 100

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Frequently Asked Questions (FAQ)

What is expand 4(2t-5)^2 ?
The solution to expand 4(2t-5)^2 is 16t^2-80t+100