Question

(iii) m2 - 121
(vi) 6x2 - 54
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Answer 1

Step-by-step explanation:

this is first one

1 We have the identity (a−b)(a+b)=a

2

−b

2

We need to simplify by using identity m

2

−121=(m−11)(m+11)

The factors are m−11,m+11.

6x2 -54= 42

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Answer 2

Answer:

(iii) $m^2 - 121$ $=(m + 11)(m - 11)$

(vi) 6x2 - 54 =-42

Step-by-step explanation:

(iii) $m^2 - 121$

$=m^2 - 11^2$

$=(m + 11)(m - 11)$  [using the identity $a^2 - b^2 = (a + b)(a - b)$]

(vi) 6x2 - 54

=6(2 - 9)  [factoring out 6]

=6.(-7)

=-42