Solve 3-12(a-b)^2

$$3 - 12 ( a - b ) ^ { 2 }$$

Evaluate

$$-12\left(a-b\right)^{2}+3$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-b\right)^{2}.

$$3-12\left(a^{2}-2ab+b^{2}\right)$$

Use the distributive property to multiply -12 by a^{2}-2ab+b^{2}.

$$3-12a^{2}+24ab-12b^{2}$$

Expand

$$3-12b^{2}+24ab-12a^{2}$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-b\right)^{2}.

$$3-12\left(a^{2}-2ab+b^{2}\right)$$

Use the distributive property to multiply -12 by a^{2}-2ab+b^{2}.

$$3-12a^{2}+24ab-12b^{2}$$