6. Factorise each of the following expressions. $$ \begin{array}{ll} ext { (a) } 2 x^{2}+3 x+1 & ext { (b) } 2 x^{2}+7 x+5 \ ext { (c) } 3 y^{2}-5 y+2 & ext { (d) } 3 y^{2}-11 y+10 \ ext { (e) } 4 m^{2}-4 m+1 & ext { (f) } 4 m^{2}+4 m-3\end{array} $$

Question

6. Factorise each of the following expressions. $$ \begin{array}{ll}	ext { (a) } 2 x^{2}+3 x+1 & 	ext { (b) } 2 x^{2}+7 x+5 \ 	ext { (c) } 3 y^{2}-5 y+2 & 	ext { (d) } 3 y^{2}-11 y+10 \ 	ext { (e) } 4 m^{2}-4 m+1 & 	ext { (f) } 4 m^{2}+4 m-3\end{array} $$

Bates Fuentes · Accepted Answer

(a) $$2x^{2}+3x+1 = (x+1)(2x+1)$$ (b) $$2x^{2}+7x+5 = (x+1)(2x+5)$$ (c) $$3y^{2}-5y+2 = (y-1)(3y-2)$$ (d) $$3y^{2}-11y+10 = (y-2)(3y-5)$$ (e) $$4m^{2}-4m+1 = (2m-1)^{2}$$ (f) $$4m^{2}+4m-3 = (2m-1)(2m+3)$$

6. Factorise each of the following expressions. \( \begin{array}{ll}\text { (a) } 2 x^{2}+3 x+1 & \text { (b) } 2 x^{2}+7 x+5 \\ \text { (c) } 3 y^{2}-5 y+2 & \text { (d) } 3 y^{2}-11 y+10 \\ \text { (e) } 4 m^{2}-4 m+1 & \text { (f) } 4 m^{2}+4 m-3\end{array} \)

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Solución paso a paso

6. Factorise each of the following expressions. \( \begin{array}{ll}\text { (a) } 2 x^{2}+3 x+1 & \text { (b) } 2 x^{2}+7 x+5 \\ \text { (c) } 3 y^{2}-5 y+2 & \text { (d) } 3 y^{2}-11 y+10 \\ \text { (e) } 4 m^{2}-4 m+1 & \text { (f) } 4 m^{2}+4 m-3\end{array} \)

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Respuesta rápida

Solución paso a paso

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