question solution

(2 a - 3 b)^{2}

Expand the expression

Expand the expression using

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

(2 a)^{2} - 2 \times 2 a \times 3 b + (3 b)^{2}

(2 a)^{2} - 2 \times 2 a \times 3 b + (3 b)^{2}

2 steps

Simplify the expression

Simplify using exponent rule with same exponent

(ab)^{n} = a^{n} \cdot b^{n}

2^{2} \times a^{2} - 2 \times 2 a \times 3 b + (3 b)^{2}

Simplify using exponent rule with same exponent

(ab)^{n} = a^{n} \cdot b^{n}

2^{2} \times a^{2} - 2 \times 2 a \times 3 b + 3^{2} \times b^{2}

Simplify using exponent rule with same exponent

(ab)^{n} = a^{n} \cdot b^{n}

2^{2} \times a^{2} - 2 \times 2 a \times 3 b + 3^{2} \times b^{2}

2^{2} \times a^{2} - 2 \times 2 a \times 3 b + 3^{2} \times b^{2}

2 steps

Calculate

Calculate the power

4 a^{2} - 2 \times 2 a \times 3 b + 3^{2} \times b^{2}

Calculate the power

4 a^{2} - 2 \times 2 a \times 3 b + 9 b^{2}

Calculate the power

4 a^{2} - 2 \times 2 a \times 3 b + 9 b^{2}

4 a^{2} - 2 \times 2 a \times 3 b + 9 b^{2}

Mutiply

Multiply themonomials

4 a^{2} - 12 ab + 9 b^{2}

4 a^{2} - 12 ab + 9 b^{2}

Answer

4 a^{2} - 12 ab + 9 b^{2}