Answer:
1) 25y²-20y+4
2) 16m²-9
3) 5y²+9y-2
4) 25y⁴+90y³+61y²-36y+4
5) 8a³+12a²+6a+1
Step-by-step explanation:
1) (5y-2)²
=(5y)²-2×5y×2+2²
=25y²-2×5y×2×2²
=25y²-20y+2²
=25y²-20y+4
2) (4m+3)(4m-3)
=(4m)²-3²
=16m²-3²
=16m²-9
3) A= l×w
l= (y+2)
w= (5y-1)
(y+2)(5y-1)
= 5y²-y+10y-2
=5y²+9y-2
4) (y+2)²×(5y-1)²
=((y+2)×(5y-1))²
=(5y²-y+10y-2)²
=(5y²+9y-2)²
=25y⁴+81y²+4+90y³-20y²-36y
=25y⁴+61y²+4+90y³-36y
Use the commutative property to reorder the terms
=25y⁴+90y³+61y²-36y+4
5) (2a+1)³
=(2a)³+3×(2a)²×1+3×2a×1²+1³
=8a³+3×4a²×1+3×2a×1+1
=8a³+12a²+6a+1
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Answers & Comments
Answer:
1) 25y²-20y+4
2) 16m²-9
3) 5y²+9y-2
4) 25y⁴+90y³+61y²-36y+4
5) 8a³+12a²+6a+1
Step-by-step explanation:
1) (5y-2)²
=(5y)²-2×5y×2+2²
=25y²-2×5y×2×2²
=25y²-20y+2²
=25y²-20y+4
2) (4m+3)(4m-3)
=(4m)²-3²
=16m²-3²
=16m²-9
3) A= l×w
l= (y+2)
w= (5y-1)
(y+2)(5y-1)
= 5y²-y+10y-2
=5y²+9y-2
4) (y+2)²×(5y-1)²
=((y+2)×(5y-1))²
=(5y²-y+10y-2)²
=(5y²+9y-2)²
=25y⁴+81y²+4+90y³-20y²-36y
=25y⁴+61y²+4+90y³-36y
Use the commutative property to reorder the terms
=25y⁴+90y³+61y²-36y+4
5) (2a+1)³
=(2a)³+3×(2a)²×1+3×2a×1²+1³
=8a³+3×4a²×1+3×2a×1+1
=8a³+12a²+6a+1
Answer:
1.
solution: (5y)²–2x5yx2+2²
answer: 25y²–20y+4
2.
solution: (4m)²–3²
answer: 16m²– 9