Solve (55)(a+b)^2

$$( 55 ) ( a + b ) ^ { 2 }$$

Expand

$$55a^{2}+110ab+55b^{2}$$

Solution Steps

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

$$55\left(a^{2}+2ab+b^{2}\right)$$

Use the distributive property to multiply 55 by a^{2}+2ab+b^{2}.

$$55a^{2}+110ab+55b^{2}$$

Evaluate

$$55\left(a+b\right)^{2}$$

Solution Steps

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

$$55\left(a^{2}+2ab+b^{2}\right)$$

Use the distributive property to multiply 55 by a^{2}+2ab+b^{2}.

$$55a^{2}+110ab+55b^{2}$$