1) 8a²(a-5)-4a(a²-7)
4a×(2a×(a-5)-(a²-7))
4a×(2a²-10a-a²+7)
4a×(a²-10a+7)⇒4×3(3²-10×3+7)
4×3(9-30+7)
4×3×(-14)
-168
2) b(-9b²+1)+3b(3b²+b)
b×(-9b²+1+3(3b²+b))
b×(-9b²+1+9b²+3b)
b×(1+3b)⇒-2×(1+3(-2))
-2(1-6)
-2×(-5)
10
3)(3x-4)(8x+2)-24x²-2
24x²+6x-32x-8-24x²-2
-26x-10⇒-26×2-10
-52-1
-53
4) (c²+3)(c-9)-c²(c-6)
c³-9c²+3c-27-c³+6c²
-3c²+3c-27⇒-3×(-5)+3×(-5)-27
3×5-3×5-27
-27
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Answers & Comments
1) 8a²(a-5)-4a(a²-7)
4a×(2a×(a-5)-(a²-7))
4a×(2a²-10a-a²+7)
4a×(a²-10a+7)⇒4×3(3²-10×3+7)
4×3(9-30+7)
4×3×(-14)
-168
2) b(-9b²+1)+3b(3b²+b)
b×(-9b²+1+3(3b²+b))
b×(-9b²+1+9b²+3b)
b×(1+3b)⇒-2×(1+3(-2))
-2(1-6)
-2×(-5)
10
3)(3x-4)(8x+2)-24x²-2
24x²+6x-32x-8-24x²-2
-26x-10⇒-26×2-10
-52-1
-53
4) (c²+3)(c-9)-c²(c-6)
c³-9c²+3c-27-c³+6c²
-3c²+3c-27⇒-3×(-5)+3×(-5)-27
3×5-3×5-27
-27