Datrys 4left(2p+3qright)^2-left(3p-qright)^2

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

Enrhifo

$$\left(p+7q\right)\left(7p+5q\right)$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(2p+3q\right)^{2}.

$$4\left(4p^{2}+12pq+9q^{2}\right)-\left(3p-q\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 4 â 4p^{2}+12pq+9q^{2}.

$$16p^{2}+48pq+36q^{2}-\left(3p-q\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(3p-q\right)^{2}.

$$16p^{2}+48pq+36q^{2}-\left(9p^{2}-6pq+q^{2}\right)$$

I ddod o hyd i wrthwyneb 9p^{2}-6pq+q^{2}, dewch o hyd i wrthwyneb pob term.

$$16p^{2}+48pq+36q^{2}-9p^{2}+6pq-q^{2}$$

Cyfuno 16p^{2} a -9p^{2} i gael 7p^{2}.

$$7p^{2}+48pq+36q^{2}+6pq-q^{2}$$

Cyfuno 48pq a 6pq i gael 54pq.

$$7p^{2}+54pq+36q^{2}-q^{2}$$

Cyfuno 36q^{2} a -q^{2} i gael 35q^{2}.

$$7p^{2}+54pq+35q^{2}$$

Ehangu

$$7p^{2}+54pq+35q^{2}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(2p+3q\right)^{2}.

$$4\left(4p^{2}+12pq+9q^{2}\right)-\left(3p-q\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 4 â 4p^{2}+12pq+9q^{2}.

$$16p^{2}+48pq+36q^{2}-\left(3p-q\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(3p-q\right)^{2}.

$$16p^{2}+48pq+36q^{2}-\left(9p^{2}-6pq+q^{2}\right)$$

I ddod o hyd i wrthwyneb 9p^{2}-6pq+q^{2}, dewch o hyd i wrthwyneb pob term.

$$16p^{2}+48pq+36q^{2}-9p^{2}+6pq-q^{2}$$

Cyfuno 16p^{2} a -9p^{2} i gael 7p^{2}.

$$7p^{2}+48pq+36q^{2}+6pq-q^{2}$$

Cyfuno 48pq a 6pq i gael 54pq.

$$7p^{2}+54pq+36q^{2}-q^{2}$$

Cyfuno 36q^{2} a -q^{2} i gael 35q^{2}.

$$7p^{2}+54pq+35q^{2}$$