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Popular >

expand (a-3b+1)^2

Solution

expand

(a - 3 b + 1)^{2}

Solution

a^{2} - 6 ab + 2 a + 9 b^{2} - 6 b + 1

Solution steps

(a - 3 b + 1)^{2}

Apply exponent rule:

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

(a - 3 b + 1)^{2} = (a - 3 b + 1) (a - 3 b + 1)

= (a - 3 b + 1) (a - 3 b + 1)

Distribute parentheses

= aa + a (- 3 b) + a \cdot 1 - 3 ba - 3 b (- 3 b) - 3 b \cdot 1 + 1 \cdot a + 1 \cdot (- 3 b) + 1 \cdot 1

Simplify

aa + a (- 3 b) + a \cdot 1 - 3 ba - 3 b (- 3 b) - 3 b \cdot 1 + 1 \cdot a + 1 \cdot (- 3 b) + 1 \cdot 1 : a^{2} - 6 ab + 2 a + 9 b^{2} - 6 b + 1

= a^{2} - 6 ab + 2 a + 9 b^{2} - 6 b + 1

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Frequently Asked Questions (FAQ)

What is expand (a-3b+1)^2 ?
The solution to expand (a-3b+1)^2 is a^2-6ab+2a+9b^2-6b+1