What is expand (3a-7b-c)^2 ?

The solution to expand (3a-7b-c)^2 is 9a^2-42ab-6ac+49b^2+14bc+c^2

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expand (3a-7b-c)^2

expand

(3 a - 7 b - c)^{2}

9 a^{2} - 42 ab - 6 a c + 49 b^{2} + 14 b c + c^{2}

Solution steps

(3 a - 7 b - c)^{2}

Apply exponent rule:

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

(3 a - 7 b - c)^{2} = (3 a - 7 b - c) (3 a - 7 b - c)

= (3 a - 7 b - c) (3 a - 7 b - c)

Distribute parentheses

= 3 a \cdot 3 a + 3 a (- 7 b) + 3 a (- c) - 7 b \cdot 3 a - 7 b (- 7 b) - 7 b (- c) - c \cdot 3 a - c (- 7 b) - c (- c)

Simplify

3 a \cdot 3 a + 3 a (- 7 b) + 3 a (- c) - 7 b \cdot 3 a - 7 b (- 7 b) - 7 b (- c) - c \cdot 3 a - c (- 7 b) - c (- c) : 9 a^{2} - 42 ab - 6 a c + 49 b^{2} + 14 b c + c^{2}

= 9 a^{2} - 42 ab - 6 a c + 49 b^{2} + 14 b c + c^{2}

\frac{s}{s ( s ^{2} + 4 ) ^{2}}

- 3 (a - 4 b)

(2 x + 5)^{3} + (5 x - 9)^{3}

x^{3} + (y + z)^{3}

\frac{( x ^{- 3} ) ^{2}}{( x ^{2} ) ^{- 1}}

What is expand (3a-7b-c)^2 ?
The solution to expand (3a-7b-c)^2 is 9a^2-42ab-6ac+49b^2+14bc+c^2