Which of the following represents the factorisation of y 2- yz -9 y -9 z -A- 9 y-zy-9B- y -9 z y -9C- y - z y -6D- y - z y -9

The correct option is D (y + z)(y + 9)Given expression: nbsp; y^2 + yz + 9y + 9z Clubbing the first two and the last two terms, we get, (y^2 + yz) + (9y + 9 ...

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Byju's Answer

Standard VIII

Mathematics

Factorization by Grouping Method

Which of the ...

Question

Which of the following represents the factorisation of $y^{2} + y z + 9 y + 9 z$ ?

(9 y + z) (y + 9)

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(y + 9 z) (y + 9)

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(y + z) (y + 6)

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(y + z) (y + 9)

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Solution

The correct option is D $(y + z) (y + 9)$
Given expression: $y^{2} + y z + 9 y + 9 z$

Clubbing the first two and the last two terms, we get,
$(y^{2} + y z) + (9 y + 9 z)$
= $y (y + z)$ + $9 (y + z)$
= $(y + z) (y + 9)$

Suggest Corrections

Which of the following represents the factorisation of y2+yz+9y+9z?

The correct option is D (y+z)(y+9)Given expression: y2+yz+9y+9z Clubbing the first two and the last two terms, we get, (y2+yz)+(9y+9z) = y(y+z) + 9(y+z) = (y+z)(y+9)

Which of the following represents the factorisation of $y^{2} + y z + 9 y + 9 z$ ?

The correct option is D $(y + z) (y + 9)$
Given expression: $y^{2} + y z + 9 y + 9 z$

Clubbing the first two and the last two terms, we get,
$(y^{2} + y z) + (9 y + 9 z)$
= $y (y + z)$ + $9 (y + z)$
= $(y + z) (y + 9)$