Question

169a2 - 52ab + 4b2 Factorise

Answer 1

Answer:

$(13a - 2b) {}^{2}$

explanation :

=》

$169a {}^{2} - 52ab + 4b {}^{2}$

=》

$(13a) {}^{2} - (2 \times 13a \times 2b) + (2b) {}^{2}$

=》

$(13a - 2b) {}^{2}$

i hope it helped. .....

Answer 2

Answer:

(13a - 2b)²

Step-by-step explanation:

169a² - 52ab + 4b² ← is a perfect square trinomial of the form

(ax - b)² = a²x² - 2abx + b²

Compare the coefficients of the squared terms

a² = 169 ⇒ a = $\sqrt{169}$ = 13

b² = 4 ⇒ b = $\sqrt{4 }$ = 2

and - 2ab = - 2 × 13 × 2 = - 52 , then

169a² - 52ab + 4b² = (13a - 2b)² ← in factored form