Question

(7m - 8n)² - (7m + 8n)²

Answer 1

Step-by-step explanation:

Simplify:

(7m - 8n)2 - (7m + 8n)2

(7m - 8n)2 - (7m + 8n)2 =

[(7m)2 - 2(7m)(8n) + (8n)2] + [(7m)2 + 2(7m)(8n) + (8n)2]

= [49m2 - 112mn + 64n2]+ [49m2 + 112mn + 64n2

= (49 + 49)m2 + (112 - 112) mn + (64 + 64)n2

= 98m2 + 0(mn) + 128n2

= 98m2 + 128n2

Answer 2

HEYA MATE !

(7m-8n)²=(7m)²+(8n)²-2(7m)(8n)

=49m²+64n²-112mn-----------1

(7m+8n)²=(7m)²+(8n)²+2(7m)(8n)

=49m²+64n²+112mn----------2

from 1&2

(1)-(2)

=(49m²+64n²-112mn)-(49m²+64n²+112mn)

=49m+64n²-112mn-49m²-64n²-112mn

=(-224mn)

hope m not wrong

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