What is expand (3.6*t'+15)^2 ?

The solution to expand (3.6*t'+15)^2 is 12.96(t')^2+108t'+225

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expand (3.6*t'+15)^2

expand

(3.6 \cdot t^{'} + 15)^{2}

12.96 (t')^{2} + 108 t' + 225

Solution steps

(3.6 t^{'} + 15)^{2}

Apply Perfect Square Formula:

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

a = 3.6 t^{'}, b = 15

= (3.6 t^{^{'}})^{2} + 2 \cdot 3.6 t^{^{'}} 15 + 1 5^{2}

Simplify

(3.6 t^{'})^{2} + 2 \cdot 3.6 t^{'} 15 + 1 5^{2} : 12.96 (t^{'})^{2} + 108 t^{'} + 225

= 12.96 (t^{'})^{2} + 108 t^{'} + 225

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What is expand (3.6*t'+15)^2 ?
The solution to expand (3.6*t'+15)^2 is 12.96(t')^2+108t'+225