Question

factorise the following questions 121 a²-88ab+16b²
please answer with steps​

Answer 1

☯GIVEN :

• $\bf{121a^ 2 - 88ab+16b^2}$.

☯TO FIND :

• Factorised Form.

☯FORMULA REQUIRED :

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

➲SOLUTION :

$\implies\sf{121a^ 2 - 88ab +16b^2}$

$\implies\sf{ (11a)^2 - 2 \times 11a \times 4b+(4b) ^2 }$

• Here, a = 11a and b = 4b

$\implies\sf{{(11a- 4b)}^{2}}$

$\implies\underline{\boxed{\pink{\bf{(11a- 4b)(11a- 4b)}}}}$

▪ Some important identities :

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

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

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

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

Answer 2

121a²-88ab+16b²

Here , a = 121

b = -88

c = 16

Discriminant, D = b²-4ac

=>D= (-88)²- 4(121)(6)

=>D= 7744 - 7744

=>D= 0

Now , X = -b±√D / 2a

X = -(-88) ±√0 / 2×121

X = 88+0 / 242 , 88-0/242

X = 88 /242 , 88/242

X = 36 /10 , 36/10

X = 0.36 ,0.36