Câu hỏi của Nguyên Hoàng

Question

phân tích đa thức thành nhân tửa) 4x2-5xy+y2

Lấp La Lấp Lánh · Accepted Answer

$4x^2-5xy+y^2=\left(4x^2-5xy+\dfrac{25}{16}y^2\right)-\dfrac{9}{16}y^2=\left(2x-\dfrac{5}{4}y\right)^2-\dfrac{9}{16}y^2=\left(2x-\dfrac{5}{4}y-\dfrac{3}{4}y\right)\left(2x-\dfrac{5}{4}y+\dfrac{3}{4}y\right)=\left(2x-2y\right)\left(2x-\dfrac{1}{2}y\right)=\left(x-y\right)\left(4x-y\right)$Câu trả lời: $4x^2-5xy+y^2=\left(4x^2-5xy+\dfrac{25}{16}y^2\right)-\dfrac{9}{16}y^2=\left(2x-\dfrac{5}{4}y\right)^2-\dfrac{9}{16}y^2=\left(2x-\dfrac{5}{4}y-\dfrac{3}{4}y\right)\left(2x-\dfrac{5}{4}y+\dfrac{3}{4}y\right)=\left(2x-2y\right)\left(2x-\dfrac{1}{2}y\right)=\left(x-y\right)\left(4x-y\right)$

Nguyễn Lê Phước Thịnh · Answer

$4x^2-5xy+y^2$$=4x^2-4xy-xy+y^2$$=4x\left(x-y\right)-y\left(x-y\right)$$=\left(x-y\right)\left(4x-y\right)$Câu trả lời: $4x^2-5xy+y^2$$=4x^2-4xy-xy+y^2$$=4x\left(x-y\right)-y\left(x-y\right)$$=\left(x-y\right)\left(4x-y\right)$

a) 5x – 15y	b) 5x²y² + 15x²y + 30xy²
c) x³ – 2x²y + xy² – 9x	d) x(x² – 1) + 3(x² – 1)
e) x² – 10x + 25	g) x² – 64
h) (x + y)² – (x² – y²)	i) 5x² + 5xy – x – y
k) x² – 25 + y² + 2xy	l) 2xy – x² – y² + 16
m) (x – 2)(x – 3) + (x – 2) - 1	n) 3(x – 1) + 5x( 1 – x)
p) 12y(2x – 5) + 6xy(5 – 2x)	q) ax – 2x – a² + 2a

a) a² – b² – 2a + 1	b) x² – 2x – 4y² – 4y
c) x² + 4x – y² + 4	d) x⁴ – 1
e) x⁴ + x³ + x² + x	g) a² + 2ab + b² – ac - bc

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