Question

x4-x4y4 factorise solve please​

Answer 1

☯GIVEN :

• $\bf{x^4 - x^ 4y^4}$.

☯TO FIND :

• Factorised form.

☯FORMULA REQUIRED :

• $\bigstar \underline{ \boxed{ \red{\bf{ a^2 - b^2 = (a - b) (a + b) }}}}$

➲SOLUTION :

• Converting in the form of : $\bf{a^2 - b^2}$

$\implies\sf{\big(x^2\big)^ 2 - {\big(x^2y^2\big)}^{2} }$

• Converting in the form of :$\bf{(a - b) (a + b)}$

• Here , a = $\bf{x^2}$ and b = $\bf{x^2y^2}$

$\implies\underline{\boxed{\pink{\bf{\big(x^2 - x^2y^2\big)(x^2 + x^2y^2\big)}}}}$

▪Some important identities :

• $\bigstar \underline{ \boxed{ \green{\bf{ {(a - b)}^{2} = a^2 - 2ab + b^2 }}}}$

• $\bigstar \underline{ \boxed{ \green{\bf{ {(a +b)}^{2} = a^2 + 2ab + b^2 }}}}$

• $\bigstar \underline{ \boxed{ \green{\bf{ {(a +b)}^{0} = 1 }}}}$

• $\bigstar \underline{ \boxed{ \green{\bf{ {(a +b)}^{1} = a +b }}}}$