(c) 4 x 87 x (-25) please solve this
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4t\imath mes\times 87t\imath mes(-25)
4tmes×87tmes(−25)
1 Take out the constants.
(4\times 87\times -25)ttmmss\imath e\imath e
(4×87×−25)ttmmssee
2 Simplify 4\times 874×87 to 348348.
(348\times -25)ttmmss\imath e\imath e
(348×−25)ttmmssee
3 Simplify 348\times -25348×−25 to -8700−8700.
-8700ttmmss\imath e\imath e
−8700ttmmssee
4 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
-8700{t}^{2}{m}^{2}{s}^{2}{\imath }^{2}{e}^{2}
−8700t
2
m
2
s
2
2
e
2
5 Use Square Rule: {i}^{2}=-1i
2
=−1.
-8700{t}^{2}{m}^{2}{s}^{2}\times -1\times {e}^{2}
−8700t
2
m
2
s
2
×−1×e
2
6 Simplify 8700{t}^{2}{m}^{2}{s}^{2}\times -1\times {e}^{2}8700t
2
m
2
s
2
×−1×e
2
to -8700{t}^{2}{m}^{2}{s}^{2}{e}^{2}−8700t
2
m
2
s
2
e
2
.
-(-8700{t}^{2}{m}^{2}{s}^{2}{e}^{2})
−(−8700t
2
m
2
s
2
e
2
)
7 Regroup terms.
-(-8700{e}^{2}{t}^{2}{m}^{2}{s}^{2})
−(−8700e
2
t
2
m
2
s
2
)
8 Remove parentheses.
8700{e}^{2}{t}^{2}{m}^{2}{s}^{2}
8700e
2
t
2
m
2
s
2
Done