What is expand (a+6b-5c)^2 ?

The solution to expand (a+6b-5c)^2 is a^2+12ab-10ac+36b^2-60bc+25c^2

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expand (a+6b-5c)^2

expand

(a + 6 b - 5 c)^{2}

a^{2} + 12 ab - 10 a c + 36 b^{2} - 60 b c + 25 c^{2}

Solution steps

(a + 6 b - 5 c)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a + 6 b - 5 c)^{2} = (a + 6 b - 5 c) (a + 6 b - 5 c)

= (a + 6 b - 5 c) (a + 6 b - 5 c)

Distribute parentheses

= aa + a \cdot 6 b + a (- 5 c) + 6 ba + 6 b \cdot 6 b + 6 b (- 5 c) - 5 c a - 5 c \cdot 6 b - 5 c (- 5 c)

Simplify

aa + a \cdot 6 b + a (- 5 c) + 6 ba + 6 b \cdot 6 b + 6 b (- 5 c) - 5 c a - 5 c \cdot 6 b - 5 c (- 5 c) : a^{2} + 12 ab - 10 a c + 36 b^{2} - 60 b c + 25 c^{2}

= a^{2} + 12 ab - 10 a c + 36 b^{2} - 60 b c + 25 c^{2}

\frac{45}{27}

\frac{45}{16}

\frac{45}{54}

\frac{25}{36} a^{2} + \frac{5}{7} ab + \frac{9}{49} b^{2}

\frac{5 y ^{2} + 3}{2 y ^{2} - 9 y - 5} - \frac{y ^{2} + 4}{2 y ^{2} - 9 y - 5}

What is expand (a+6b-5c)^2 ?
The solution to expand (a+6b-5c)^2 is a^2+12ab-10ac+36b^2-60bc+25c^2