Datrys left(50x+100right)^2+left(130xright)^2-12*20x*(50x+100)

$${ \left(50x+100 \right) }^{ 2 } + { \left(130x \right) }^{ 2 } -12 \times 20x \times (50x+100)$$

Enrhifo

$$7400x^{2}-14000x+10000$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(50x+100\right)^{2}.

$$2500x^{2}+10000x+10000+\left(130x\right)^{2}-12\times 20x\left(50x+100\right)$$

Ehangu \left(130x\right)^{2}.

$$2500x^{2}+10000x+10000+130^{2}x^{2}-12\times 20x\left(50x+100\right)$$

Cyfrifo 130 i bŵer 2 a chael 16900.

$$2500x^{2}+10000x+10000+16900x^{2}-12\times 20x\left(50x+100\right)$$

Cyfuno 2500x^{2} a 16900x^{2} i gael 19400x^{2}.

$$19400x^{2}+10000x+10000-12\times 20x\left(50x+100\right)$$

Lluosi 12 a 20 i gael 240.

$$19400x^{2}+10000x+10000-240x\left(50x+100\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -240x â 50x+100.

$$19400x^{2}+10000x+10000-12000x^{2}-24000x$$

Cyfuno 19400x^{2} a -12000x^{2} i gael 7400x^{2}.

$$7400x^{2}+10000x+10000-24000x$$

Cyfuno 10000x a -24000x i gael -14000x.

$$7400x^{2}-14000x+10000$$

Ehangu

$$7400x^{2}-14000x+10000$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(50x+100\right)^{2}.

$$2500x^{2}+10000x+10000+\left(130x\right)^{2}-12\times 20x\left(50x+100\right)$$

Ehangu \left(130x\right)^{2}.

$$2500x^{2}+10000x+10000+130^{2}x^{2}-12\times 20x\left(50x+100\right)$$

Cyfrifo 130 i bŵer 2 a chael 16900.

$$2500x^{2}+10000x+10000+16900x^{2}-12\times 20x\left(50x+100\right)$$

Cyfuno 2500x^{2} a 16900x^{2} i gael 19400x^{2}.

$$19400x^{2}+10000x+10000-12\times 20x\left(50x+100\right)$$

Lluosi 12 a 20 i gael 240.

$$19400x^{2}+10000x+10000-240x\left(50x+100\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -240x â 50x+100.

$$19400x^{2}+10000x+10000-12000x^{2}-24000x$$

Cyfuno 19400x^{2} a -12000x^{2} i gael 7400x^{2}.

$$7400x^{2}+10000x+10000-24000x$$

Cyfuno 10000x a -24000x i gael -14000x.

$$7400x^{2}-14000x+10000$$