Question

simplify (4^3-2^2)(4^3+2^2)​

Answer 1

Solution:-

$→\;( {4}^{3} - {2}^{2} )( {4}^{3} + {2}^{2} )$

• $\boxed{\pink{\sf{(a+b)(a-b) = a²-b²}}}$

$→\; ({ {4}^{3} })^{2} - ( { {2}^{2} })^{2}$

$→\; {4}^{(3 \times 2)} - {2}^{(2 \times 2)}$

$→\;{4}^{6} - {2}^{4}$

$→\;4096 - 16$

$→\;\red{\bold{4080}}$

$\Large{✓}$

Hope It Helps You ✌️

Answer 2

Step-by-step explanation:

(4

3

−2

2

)(4

3

+2

2

)

\boxed{\pink{\sf{(a+b)(a-b) = a²-b²}}}

(a+b)(a−b)=a²−b²

→\; ({ {4}^{3} })^{2} - ( { {2}^{2} })^{2}→(4

3

)

2

−(2

2

)

2

→\; {4}^{(3 \times 2)} - {2}^{(2 \times 2)}→4

(3×2)

−2

(2×2)

→\;{4}^{6} - {2}^{4}→4

6

−2

4

→\;4096 - 16→4096−16

→\;\red{\bold{4080}}→4080

\Large{✓}✓