Datrys 8/x+3+12/x+7/frac{5x+23{x^2+10x+21}}

$$\frac { \frac { 8 } { x + 3 } + \frac { 12 } { x + 7 } } { \frac { 5 x + 23 } { x ^ { 2 } + 10 x + 21 } }$$

Enrhifo

$$4$$

Camau Ateb Byr

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin x+3 a x+7 yw \left(x+3\right)\left(x+7\right). Lluoswch \frac{8}{x+3} â \frac{x+7}{x+7}. Lluoswch \frac{12}{x+7} â \frac{x+3}{x+3}.

$$\frac{\frac{8\left(x+7\right)}{\left(x+3\right)\left(x+7\right)}+\frac{12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Gan fod gan \frac{8\left(x+7\right)}{\left(x+3\right)\left(x+7\right)} a \frac{12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{\frac{8\left(x+7\right)+12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Gwnewch y gwaith lluosi yn 8\left(x+7\right)+12\left(x+3\right).

$$\frac{\frac{8x+56+12x+36}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Cyfuno termau tebyg yn 8x+56+12x+36.

$$\frac{\frac{20x+92}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Rhannwch \frac{20x+92}{\left(x+3\right)\left(x+7\right)} â \frac{5x+23}{x^{2}+10x+21} drwy luosi \frac{20x+92}{\left(x+3\right)\left(x+7\right)} â chilydd \frac{5x+23}{x^{2}+10x+21}.

$$\frac{\left(20x+92\right)\left(x^{2}+10x+21\right)}{\left(x+3\right)\left(x+7\right)\left(5x+23\right)}$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

$$\frac{4\left(x+3\right)\left(x+7\right)\left(5x+23\right)}{\left(x+3\right)\left(x+7\right)\left(5x+23\right)}$$

Canslo \left(x+3\right)\left(x+7\right)\left(5x+23\right) yn y rhifiadur a'r enwadur.

$$4$$

Ffactor

$$2^{2}$$