Question

Factorise: 49

2 − 36​

Answer 1

Answer:

$Rewrite 49x249x2 as (7x)2(7x)2.</p><p></p><p>(7x)2−36(7x)2-36</p><p></p><p>Rewrite 3636 as 6262.</p><p></p><p>(7x)2−62(7x)2-62</p><p></p><p>Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=7xa=7x and b=6b=6.</p><p></p><p>(7x+6)(7x−6)(7x+6)(7x-6)</p><p></p><p>49x2−3649x2-36</p><p></p><p>==</p><p></p><p>=0=0</p><p></p><p>36x36x</p><p></p><p>$

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