Resol (6p)^2-(2p-6q)^2=

$$( 6 p ) ^ { 2 } - ( 2 p - 6 q ) ^ { 2 } =$$

Calcula

$$4\left(4p-3q\right)\left(2p+3q\right)$$

Passos de solució

Expandiu \left(6p\right)^{2}.

$$6^{2}p^{2}-\left(2p-6q\right)^{2}$$

Calculeu 6 elevat a 2 per obtenir 36.

$$36p^{2}-\left(2p-6q\right)^{2}$$

Utilitzeu el teorema del binomi \left(a-b\right)^{2}=a^{2}-2ab+b^{2} per desenvolupar \left(2p-6q\right)^{2}.

$$36p^{2}-\left(4p^{2}-24pq+36q^{2}\right)$$

Per trobar l'oposat de 4p^{2}-24pq+36q^{2}, cerqueu l'oposat de cada terme.

$$36p^{2}-4p^{2}+24pq-36q^{2}$$

Combineu 36p^{2} i -4p^{2} per obtenir 32p^{2}.

$$32p^{2}+24pq-36q^{2}$$

Expandiu

$$32p^{2}+24pq-36q^{2}$$

Passos de solució

Expandiu \left(6p\right)^{2}.

$$6^{2}p^{2}-\left(2p-6q\right)^{2}$$

Calculeu 6 elevat a 2 per obtenir 36.

$$36p^{2}-\left(2p-6q\right)^{2}$$

Utilitzeu el teorema del binomi \left(a-b\right)^{2}=a^{2}-2ab+b^{2} per desenvolupar \left(2p-6q\right)^{2}.

$$36p^{2}-\left(4p^{2}-24pq+36q^{2}\right)$$

Per trobar l'oposat de 4p^{2}-24pq+36q^{2}, cerqueu l'oposat de cada terme.

$$36p^{2}-4p^{2}+24pq-36q^{2}$$

Combineu 36p^{2} i -4p^{2} per obtenir 32p^{2}.

$$32p^{2}+24pq-36q^{2}$$