F actorise - 16 x 2-8 xy - y 2A- 4 x-y2B- 8 x-y2- 4 x -2 y 2D- 4 x-y

The correct option is A (4x+y)^216x^2+8xy+y^2 =(4x)^2+2×(4x)×y+(y)^2 Comparing this with the identity: nbsp; a^2+2ab+b^2= (a+b)^2 (4x)^2+2×(4x)×y+(y)^2=(4x+y ...

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Byju's Answer

Standard VII

Mathematics

(a + b)^2 = a^2 + 2ab +b^2

F actorise : ...

Question

$F a c t o r i s e : 16 x^{2} + 8 x y + y^{2}$

(4 x + y)^{2}

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(8 x + y)^{2}

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(4 x + 2 y)^{2}

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(4 x + y)

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Solution

The correct option is A $(4 x + y)^{2}$
$16 x^{2} + 8 x y + y^{2} = (4 x)^{2} + 2 \times (4 x) \times y + (y)^{2}$
Comparing this with the identity:
$a^{2} + 2 a b + b^{2} = (a + b)^{2} (4 x)^{2} + 2 \times (4 x) \times y + (y)^{2} = (4 x + y)^{2}$

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Similar questions

Q. Solve:

lim x \to 0 \frac{x y \sqrt{y^{2} - (y - x)^{2}}}{(\sqrt{8 x y - 4 x^{2}} + \sqrt{8 x y})^{3}}

I. 8x+y=10
II. 4x+2y=13

Determine the distance between the following pair of parallel lines:

(i) $4 x - 3 y - 9 = 0$ and $4 x - 3 y - 24 = 0$

(ii) $8 x + 15 y - 34 = 0$ and $8 x + 15 y + 31 = 0$

(iii) $y = m x + c$ and $y = m x + d$

(iv) $4 x + 3 y - 11 = 0$ and $8 x + 6 y = 15$

lim x \to 0 \frac{x y \sqrt{y^{2} - (y - x)^{2}}}{(\sqrt{8 x y - 4 x^{2}} + \sqrt{8 x y})^{3}}

is equal to

Q. Classify the following into like terms:

4 x^{2}, \frac{1}{3} x, - 8 x^{3}, x y, 4 y, - 74 x^{3}, 8 x y, 7 x y z, 3 x^{2}

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Factorise:16x2+8xy+y2

The correct option is A (4x+y)216x2+8xy+y2=(4x)2+2×(4x)×y+(y)2 Comparing this with the identity: a2+2ab+b2=(a+b)2(4x)2+2×(4x)×y+(y)2=(4x+y)2

$F a c t o r i s e : 16 x^{2} + 8 x y + y^{2}$

The correct option is A $(4 x + y)^{2}$
$16 x^{2} + 8 x y + y^{2} = (4 x)^{2} + 2 \times (4 x) \times y + (y)^{2}$
Comparing this with the identity:
$a^{2} + 2 a b + b^{2} = (a + b)^{2} (4 x)^{2} + 2 \times (4 x) \times y + (y)^{2} = (4 x + y)^{2}$