Question

Expand :- (k+4)³, (7x+8y)³, (7+m)³, (52)³, (101)³

Answer 1

(1) (k+4)³
=(k+4)*(k+4)*(k+4)
=(k+4)(k2+8k+16)
=(k)(k2)+(k)(8k)+(k)(16)+(4)(k2)+(4)(8k)+(4)(1
6)
=k3+8k2+16k+4k2+32k+64
=k3+12k2+48k+64.

(2) (7x+8y)³
=(7x+8y)*(7x+8y)*(7x+8y)
=(7x+8y)(49x2+112xy+64y2)
=(7x)(49x2)+(7x)(112xy)+(7x)(64y2)+(8y)(49x2)+(8y)(112xy)+(8y)(64y2)
=343x3+784x2y+448xy2+392x2y+896xy2+512y3
=343x3+1176x2y+1344xy2+512y3.

(3) (7+m)³
=(7+m)*(7+m)*(7+m)
=(7+m)(m2+14m+49)
=(7)(m2)+(7)(14m)+(7)(49)+(m)(m2)+(m)(14m)+(m)(49)
=7m2+98m+343+m3+14m2+49m
=m3+21m2+147m+343.

(4) (52)³
=52*52*52
=523
=140608.

(5) (101)³
=101*101*101
=1013
=1030301.

Answer 2

Step-by-step explanation:

Solution is given in above pic

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