Solve (10+12sqrt{h})(10-12sqrt{h})

$$( 10 + 12 \sqrt { h } ) ( 10 - 12 \sqrt { h } )$$

Evaluate

$$100-144h$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$10^{2}-\left(12\sqrt{h}\right)^{2}$$

Calculate 10 to the power of 2 and get 100.

$$100-\left(12\sqrt{h}\right)^{2}$$

Expand \left(12\sqrt{h}\right)^{2}.

$$100-12^{2}\left(\sqrt{h}\right)^{2}$$

Calculate 12 to the power of 2 and get 144.

$$100-144\left(\sqrt{h}\right)^{2}$$

Calculate \sqrt{h} to the power of 2 and get h.

$$100-144h$$

Factor

$$4\left(25-36h\right)$$