Write each perfect square as a trinomial. Show your complete solution.
1. (3x+4y)2
2.(3x−5)2
3.(−5ab+3c)2
4.(4x−8)2
5.(x−6)2
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Write each perfect square as a trinomial. Show your complete solution.
1. (3x+4y)2
2.(3x−5)2
3.(−5ab+3c)2
4.(4x−8)2
5.(x−6)2
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Answer:
1. 9x²+24xy+16y²
2.9x²-30x+25
3.9c²-30abc+25b²a²
4.16x²-64x+64
5.x²-12x+36
Step-by-step explanation:
1.(3x+4y)²
FOIL METHOD
(3x+4y)(3x+4y)
F-irst= (3x)(3x)=9x²
O-uter=(3x)(4y)=12xy
I-nner=(4y)(3x)=12xy
L-ast=(4y)(4y)=16y²
9x²+12xy+12xy+16y²
9x²+24xy+16y²
2.(3x-5)²
(3x-5)(3x-5)
F=(3x)(3x)=9x²
O=(3x)(-5)=-15x
I=(-5)(3x)=-15x
L=(-5)(-5)=25
9x²-15x-15x+25
9x²-30x+25
3.(-5ab+3c)²
(-5ab+3c)(-5ab+3c)
F=(-5ab)(-5ab)=-25a²b²
O=(-5ab)(3c)=-15abc
I=(3c)(-5ab)=-15abc
L=(3c)(3c)=9c²
-25a²b²-15abc-15abc+9c²
9c²-30abc-35a²b²
4.(4x-8)²
(4x-8)(4x-8)
F=(4x)(4x)=16x²
O=(4x)(-8)=-32x
I=(-8)(4x)=-32x
L=(-8)(-8)=-64
16x²-32x-32x-64
16x²-64x-64
5.(x-6)
(x-6)(x-6)
F=(x)(x)=x²
O=(x)(-6)=-6x
I=(-6)(x)=-6x
L=(-6)(-6)=36
x²-6x-6x+36
x²-12x+36