Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
(ax + by)2 + (bx − ay)2
उत्तर
\[(ax + by )^2 + (bx - ay )^2 = a^2 x^2 + 2abxy + b^2 y^2 + b^2 x^2 - 2abxy + a^2 y^2 \]
\[ = a^2 x^2 + b^2 y^2 + b^2 x^2 + a^2 y^2 \]
\[ = ( a^2 x^2 + a^2 y^2 ) + ( b^2 x^2 + b^2 y^2 ) \][Regrouping the expressions]
\[ = a^2 ( x^2 + y^2 ) + b^2 ( x^2 + y^2 )\]
\[ = ( a^2 + b^2 )( x^2 + y^2 )\] [Taking \[( x^2 + y^2 )\] as the common factor]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following expressions:
1 + x + xy + x2y
Factorize each of the following expressions:
ax + ay − bx − by
Factorize each of the following expressions:
xa2 + xb2 − ya2 − yb2
Factorize each of the following expressions:
x2 + xy + xz + yz
Factorize each of the following expressions:
2ax + bx + 2ay + by
Factorize each of the following expressions:
ab − by − ay + y2
Factorize each of the following expressions:
axy + bcxy − az − bcz
Factorize each of the following expression:
ab(x2 + 1) + x(a2 + b2)
Factorize each of the following expression:
a(a − 2b − c) + 2bc
Factorize each of the following expression:
x2 − 11xy − x + 11y
