Question

$49p {}^{2} - 94p + 16$
hii please give me the answer ​

Answer 1

Question :-

Factorize: $\mathtt{49p^2 - 56p + 16}$

$\begin {gathered} \end {gathered}$

Solution :-

We have,

$\begin {aligned} \bold {49p^2 - 56p + 16} &= (7p)^2 - 2 \times 7p \times 4 + 4^2\\\\&= \underline {\underline {\bf (7p - 4)^2}} \end {aligned}$

$\begin {gathered} \end {gathered}$

Additional Information :-

Factorization:-

The Process of finding two or more expressions whose product is the given expression is called Factorization.

It is the reverse process of Multiplication.

$\begin {gathered} \end {gathered}$

Some more Formulae:-

(i) $\mathtt{(a+b)^2 = a^2 + 2ab + b^2}$

(ii) $\mathtt{(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca}$

(iii) $\mathtt{(a + b)^3 = a^3 + b^3 + 3ab(a+b)}$

(iv) $\mathtt{(a - b)^3 = a^3 - b^3 - 3ab (a - b)}$

(v) $\mathtt{(a^2 - b^2) = (a + b)(a - b)}$