What are the factors of 15 xy -6 x 2 -A- 3 x5 y-2 xB- 35 y -2 x - 3 x5-2 xD- 3 x5 y-x

The correct option is A 3x(5y+2x) The expression 15xy + 6x^2 can be written as 3 × 5 × x × y+ 3 × 2× x × x...(i) Taking 3x as common factor from (i), we get =3 ...

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Byju's Answer

Standard VII

Mathematics

Multiplication of Algebraic Expressions

What are the ...

Question

What are the factors of $15 x y + 6 x^{2}$ ?

$3 x (5 y + 2 x)$

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$3 (5 y + 2 x)$

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$3 x (5 + 2 x)$

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$3 x (5 y + x)$

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Solution

The correct option is A
$3 x (5 y + 2 x)$

The expression $15 x y + 6 x^{2}$ can be written as

$3 \times 5 \times x \times y + 3 \times 2 \times x \times x$ ...(i)

Taking $3 x$ as common factor from (i), we get

$= 3 x (5 y + 2 x)$

$\Rightarrow 15 x y + 6 x^{2} = 3 x (5 y + 2 x)$

Therefore, the factors of $15 x y + 6 x^{2}$ are $3 x$ and $(5 y + 2 x)$ .

Suggest Corrections

What are the factors of 15xy+6x2?

The correct option is A 3x(5y+2x) The expression 15xy+6x2 can be written as 3×5×x×y+3×2×x×x...(i) Taking 3x as common factor from (i), we get =3x(5y+2x) ⇒15xy+6x2=3x(5y+2x) Therefore, the factors of 15xy+6x2 are 3x and (5y+2x).

What are the factors of $15 x y + 6 x^{2}$ ?