Question

factorise=4x²+20x+25​

Answer 1

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Answer 2

$\huge{\boxed{\sf{SOLUTION-}}}$

It is given that,

${4x}^{2} + 20x + 25$

We have to factorise it using the method called splitting of middle terms.

${4x}^{2} + (10 + 10)x + 25$

${4x}^{2} + 10x + 10x + 25$

Now find the common term.

$2x(2x + 5) + 5(2x + 5)$

$(2x + 5)(2x + 5)$

Hence the factorization is done.

Now,

To find the value of x, equate with zero.

$(2x + 5) = 0$

$2x = ( - 5)$

$x = \frac{( - 5)}{2}$