Solve (18s^2-14r^2)+(05rs-12r^2+24s^2)

$$( 18 s ^ { 2 } - 14 r ^ { 2 } ) + ( 05 r s - 12 r ^ { 2 } + 24 s ^ { 2 } )$$

Evaluate

$$42s^{2}-26r^{2}$$

Solution Steps

Multiply 0 and 5 to get 0.

$$18s^{2}-14r^{2}+0rs-12r^{2}+24s^{2}$$

Anything times zero gives zero.

$$18s^{2}-14r^{2}+0-12r^{2}+24s^{2}$$

Combine -14r^{2} and -12r^{2} to get -26r^{2}.

$$18s^{2}-26r^{2}+0+24s^{2}$$

Combine 18s^{2} and 24s^{2} to get 42s^{2}.

$$42s^{2}-26r^{2}+0$$

Anything plus zero gives itself.

$$42s^{2}-26r^{2}$$

Factor

$$2\left(21s^{2}-13r^{2}\right)$$

Solution Steps

Factor out 2.

$$2\left(9s^{2}-7r^{2}+0-6r^{2}+12s^{2}\right)$$